Question

A certain number is added to each of a pair of numbers which are in the ratio 4:7. The sum of the resulting numbers is 75 and their ratio(taken in the same order as mentioned above) is 8:17.What is the number added​

Answer 1

first step : add number y in both so get sum 75

(4x+y) + ( 7x+y ) = 75

11x + 2y = 75

y = 75-11x/2

second step: do as question info

4x+y : 7x+y = 75

4x+y = 75(7x+y)

4x+y = 525x+75y

521x + 74y = 0 :: put value of y

521x + 74(75-11x/2) = 0

521x + 2775- 814x = 0

293x = 2775

x = 2775/293

X= 9 APPROX

HOPE ITS HELP..