V ) 15}

2

a

239. Given ~ () +-6)

(

3}

, to

2.

ах

ex.

Ans. X

244. Given {{2+xy+oszty

2

237. Given a+b. (2+d=c, to find the value of x.

a2- 62
Answers x =
and x =

d.

3a 238. Given

Ans. x=4.
N(X) + 2N (2) + 40
(

Ans x=0
♡ (2) –(6)
5

atb
(6x)—2_4N (6x) -91
240. Given

.

x=6. (6x)+24 (6x) +6 ), to find z. 52-9

✓(50)-3

♡ 5x 241. Given

find 25. ✓(52) +3

2 242. Given Ņ{1+<(x++-12)}=1+x, to find x. 22.

acx?

be-a'd 243. Given on (c**4d") +

+
b

2abce
1

1 +) =r, and {z?—xy+y}

+ to find x and y.

(52_pq8+(s—r)
(str)] +(82—27$+(s—r)
33

(877) ! +(82m3+(-2)

) 7x-21 Зу

33-19 245. Given + =4+ .

6
3

2

to find u and y. 9.—7_3y+9 4x+5y and 2 8 4

16

Ans. x=9, and x=4. 7x+6 , 4y—9

3y— 246. Given +

3x

and 3x + 11 3

2

5 4 : 2y^3 :: 5:3, to find x and y.

Ans. x= =7, and y=9.

6 247. Given

and ax+2by=C,

, to find x and y. but y 3atx' 262-6a? to

3a-b+c Answers. x =

;
and

y
За

36
5x+13 8y—3—5
248. Given

=9+
2
6

3 2+7. 37–8

+4x :: 4:21, to find x and y. - Ans. X=5; y=4 3 4

3x+4y+3 2x+7-4 249. Given 10 15

5 9y+52–8 2+y_7x+6

to find a and y. Ans. 27; y=9. 12

11

132 +

:

; & aʻx

atö; and y=

ه=v

252. Given 25,779

and

4y—17+ 15 - 3.0

2 15 — 3x12y + 11 250. Given

12
4

3 12x+74+28 9x+18 12 + 5y - 62 15x

3y - 5 ;

and
6

4
5

8
7x+y— 10
to find x and y.

Ans. x=2, and y=11.
15
(8a-26).ab

acb? 251. Given 32+5y=

a262 a_z2+la+b+c) by

a2 - 2 beta+26)ab, to find x and y.

ab

ab Ans. x =

a-6 2c+ 7y+6x+11 5x —-17 5x+3y+2

-91 18

6

7 9y+6 ::1 : 3, to find x and

y.

Ans, 27; and y=4.
2
Зr

y
1 1

y 253. Given

+ 3 12

4

4 4c

y 11:46–3_24::34 : 3}, to find x and

-24::31 : 3), to find 2 and y. Ans, k7; and y=4. 8

36 254. Given nat» (249)

to find 2. X=25.

(249)' 255. Given 2+15y=53, to find the values of x and y. and y+ 3x=27,

Ans. x=8;, and yə. 256. Given 4x+ 9y=51, to find the values of x and y. and 8x-13y=9,

Ans. 26; and y3.

y 6 4

4 6

Ans. x=12; and y=16.

30-45y_23–9* ++; and + +

2

}

";} 257. Given 6 +6; and +=5$, to find x and y. 258. Given +8y=194; and $48 =131, to find z and y.

X

find x and y.

8

Ans, x=16, and y=24. 32-1 259. Given

Зу—5 +3y-=15; and +2x--S=73, to 5

6 Ans. x=7 ; and y=5.

13x 260. Given 93 +

=6; y=10. 5

3
7Fz –

бу—7 , 4x-3
=34–5; and +
2 4

2

6 —5x, to find x and y.

Ans, x= -3, and y=2. 262. Given x+1

3y + 4x

9y+33

;

and -3-
7
14

2

-44.

Sy—70 ; and 7y– 261. Given ?

18

15—X

+17=54+4+7

; and

;

6x3y at

34 + 3x+4

; and Byt?

lly-19 SXto find x and y.

Ans. x=6; and y=5. 4

7x+11

2x + 9 263. Given 4x + =2y+5+

;

and 3-
4
16

5 =2.1+ 2y+4 to find x and y.

Ans. X=3; and x=4. 3

Зr+5y 264. Given x

4x

5—7 5y 17

3

3

11 2+1_8y+5. to find u and y.

Ans. x=8, and y=2. 6 18 265. Given (z+5).(y+7)=(x+1).(7—9)+112, and 2x+10= 3y+1, to find the values of x and y. Ans. X=3; and y=5. 6x+9 , 3x+54

+ 266. Given +

+ 4 4x 6

2

10 4y—9

to find x and y. Ans. x=7, and y=9. 2y - 8 5 4y + 13.2 12x+8

21-44 267. Given 4x — 343

;

and 3x +
27464
3

42-10
18213
-23, to find x and

y.

Ans. =7, and y=5. 6

128x?_18y +217 268. Given 16x+6y_l=

10x+10y-35 82-3y+2

2x+2y+3 54 -5 to find u and y.

Ans. 26; and y=5. 3x+2y - 1

'

24+ 269. Given 4x+3y+

162 + 12xy — 8x + 5y+28 2x+1

4x^2 8x?— 18y? + 108 and 2x+4=3y +

to find x and y. X=3; y=2. 4x+6y+3 6x +130—2472

151–162 270. Given 3x+6y+1=

;

and 3.x2.cm4y+3

4y—1 9.ry-110 to find x and y.

Ans. =9; and y=2. Зу—4 *+6y 346-3-102

3z, 271. Given

+

= 54

i
5
8

16

2
Y

1
ta2 y=

=
2 3
4x-2y+3 183+5y
—бу Y

1 7 272. Given

7 3

7

4 57 10
y
3
y

1
2zJg+15 : 9–2x+15:: ta:
3

to find the va

4 3 lues of x and y.

Ans. x=18; and y=24.

; and

; and the

+243 +6 :: 104 : 1, to find x and y. Ans. 1-4; y=3.

11

; and

loo

y +7

;

пс

nm

nc

12y—6452

30-31-+-10x+13 2x 273. Given 4 + =yt

11

3x

3 31–5 4xytz

to find u and y. Ans. 2=7; and y=2. 6y + 27 274. Given 3x4=28+x, to find x and y. Ans. x=+4. 275. Given aty:y::3:1; and xy=18, to find x and y.

Ans. X=+6; and y=+3. 276. Given x-y:y::4:5; and x+4y=181, to find x and y.

Ans. x==39; and y=+5. 277. Given x+y : xry::a : b; and xy=c, to find x and y. Ans. a=to(at); and y=ton a

Ca=

ab 278. Given 2+ye: 2—4°::17:8, and xy=45, to find x and

y.

Ans. x=5; and y=3. 279. Given XY—54; and xy-y=18, to find x and y.

Ans. x=+9; and y=£3. 280. Given xty : 2-y*::1:4; and zy=21, to find x and y.

Ans. x=7, or —3 ; and y=3, or -6. 281. Given ax: +bxy=co; and x-y:8::M : n, to find u and y.

-Y =EN

; y=+ CON na + nb

mb 282. Given 2 tye : 2-y::559 : 127 ; and a'y=294, to find

Ans. =7; and y=6. 283. Given zxy : xy -4°::3:7; and my? 147, to find y

Ans. x=3; y=7. 284. Given ✓ (x) + Ny: X-Wy :: 4:1 ; and c- y

-Y =16, to find x and y.

Ans. x=25, and y=9. 285. Given x - Vy=3; and 7x + y W y

7, to find

Ans. x=625 ; and y=16. 286. Given a y : Nx - NY::8: 1; and w xy

;

15, to find x and y.

Ans. X=25, or 9; and y=9, or 25. 287. Given 3—48 : z'y::7 : 2; and x+y=6, to find x and y.

Ans. X=4, or 2 ; and y=2, or 4.

; 1 1 1 2 1 288. Given

to find x and

y. Y

g' ху

Ans. x=6, or 3; y=3, or 6. 289. Given x-3369; and x-y=9, to find x and y.

Ans. x=+5; y=34.

16 290. Given 28-y=56; and 2-y= to find u and y.

ху Ans. x=4, or -2 ; and y=2, or 4.

b).

n

na + nb

:

2 and y.

INI HNL

and y.

295. Given FFM

= ax, to find the

a

1

1

(3) 291. Given

to find a 1-(1-2)

)

Ans. === 292. Given my+y=116; and cyt+y=14, to find u and y.

I Ans. x=5, or 2n(); and y=4, or 10. 293. Given x + y = 6; and x+y=72, to find x and y.

Ans. x=64, or 8; and y=8, or 64.

5 x2 294. Given 4x2 + + 10y; and 2 + 3y = 55, to find

Y u and y.

Ans. 215; and y=10. 1

1

+
atv (2 — 2)
- x) x-(2
^(2 - x?)

at! values of x.

Ans. im

ab 296. Given

=b. Ans. XI v{a? + 2*}-*

} 297. Given Ny-va-2)=N(y -- x); and (y-x)+ —x

— wa—c):Nia-r)::5: 2, to find x and y. (am)

Ans. Xa; and y=fa. 298. Given t* +4–20 ; and 2*+,$ 6, to find u and y.

을

33 28=y -6.

Ans. x=+8, or E18; and y=32, or 1024. 299. Given x'+2x+r' +y = 1296 — 4xy' (x + xy +y); and

x* y=4, to find x and y.

Ans. 35, or 1; y=1, or 5.

4a Namn(a—x) 300. Given

=a, to find x.

Ans. x2
Nat» (a=2)

Nxtn12—y)=4; and Nx: Ny::Ny : 4, to 301. Given

(xy) find 2 and y.

Ans. x=625 ; and y=25.

;
1 1 1
302. Given

; and x'y-xy=16, to find x and y.
Y
4

Ans. =4, or -2; y=2, or -4.

x (4x+1)+ 4x 303. Given

to find x.

Ans. =
V (4x+1)

-4x'
at«t»

(WbF1); =b. Ans. x=ta's a+2-^(2ax+x?)

211 305. Given x*y_xoy=216 ; and xy—yo=6, to find u and y.

Ans. =3, or —2; and y=2, or -3. 306. Given 2+(xy)=208; &#*+y(x+y)=1053, to find # and y.

Ans. X=28; and y=+27. 307. Given me taky!+y=1009 ; and 28 +*yttya

+xtoyu

(a+1)*

304. Given a+v (2ax+x)

=