Question

Two numbers are in the ratio 3:5 if each nuber is increased by 10, the ratio beween 5:7 find th no.

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

put the value of y in eq.(1)

x = (3×25)/5
x=15

hence , the numbers are 15 and 25


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