Question

two numbers are in a ratio 3:5. if each is increased by 10, the ratio become the 5:7 find the number
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Answer 1

let the two numbers are x and y

then, x/y = 3/5

x=(3y) /5. ..(1)

also,

(x+10)/(y+10) = 5/7

7(x+10)=5(y+10) 7x = 5y+50-70=5y-20

put the value of x from eq. (1) 7(3y/5) =5y - 20

21y =25y - 100 y = 100/4

25y-21y = 100

y =25

put the value of y in eq.(1)

x = (3x25)/5 x=15

hence, the numbers are 15 and 25