...::a;+5: Subtracting terms, (Art. 389, 6.) a;+ 1 : 4 : : a; + 5 : 8 Therefore 8*+8 = 4;c+20. And.v = 3. Find two numbers, the greater of which shall be to the less, as their sum to 42; and as their difference to 6. Let x and y= the numbers. By the conditions a; : y : : x +y :...

...7; by transposition, за? = 15; and x = 5 ; .'. у = ïx + 8 = 18, and the fraction is — . 18 4. Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6. Let x and у = the numbers ; then x : у : : x + у : 42, and...

...shown is to the true time as 29 to 105. Required the true time. • Ans. 8 hours, 45 minutes. Prob. 3. Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6, Ans. 32, and 24. Prob. 4. What two numbers are those, whose difference,...

...shown is to the true time as 29 to 105. Required the true time. Ans. 8 hours, 45 minutes. Prob. 3. Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6, Ans. 32, and 24. Prob. 4. What two numbers are those, whose difference,...

...subtraction, Зя — 8 = 7; by transposition, 3x =15; and лг = 5; =18, 5 and the fraction is — . 18 4. Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6. Let x and у = the numbers; then, x : у :: x+y : 42, and x :...

...x+5::*+5 :x + 13 Subtracting terms, (Art. 389, 6.) x + l : 4: '.x+5 : 8 Therefore 8* + 8=4*+20. And*=3. 3. Find two numbers, the greater of which shall be to the less, as their sum to 42 ; and as their difference to 6. • Let x and y= the numbers. By the conditions x : y '. '. x...

...whose difference, sum, and produet are as the numbers 2, 3 and 5 respectively ? Ans. 10 and 2. 10. Find two numbers, the greater of which shall be to the less аз their sum to 42, and as their difference to 6. Ans. 32 and 24. 11. A and В being at play, severally...

...: : x+5 : 8 Therefore i 8x+ 8=4*4-20. And x=3. x : y : x : y : : x-\-y : x - y 3. Find two number?, the greater of which shall be to the less, as their sum to 42 ; ami as their difference to 6. Let x and y= the numbers. By the conditions, And By equality...

...second, we obtain 3o; = 15; whence, x = 5, y=2x + 8 = 10 + 8 = 18. The fraction is therefore, T5. Io 2. Find two numbers the greater of which shall be to the less, as their sum is to 42, and as their difference is to 6. Let x and y be the numbers ; then, . x : y = x + y : 42, and,...

...difference as m : n ? Let x be the required number ; a + xm then, whence * = b — xn bm — an m + n (2) Find two numbers, the greater of which shall be to the less as their sum to 42, and as their difference to 6. Let x be the greater, and y the less ; then, x : y : : x + y :...