Question

two numbers are in the ratio 3:5 if each is increased by 10 the ratio between the numbers so from is 5:7 find the original numbers

Answer 1

let the original numbers be x and y
x/y=3/5

5x=3y
x=3/5 y
x+10/y+10=5/7
7x+70=5y+50
7x-5y=-20
21/5y -5 =-20
-4y/5=-20
y=25 Ans
x=3/5 y =3/5×25=15 Ans

Answer 2

Let the ratio, 3:5 be taken as 3x and 5x.

If the ratios are increased by 10 :-

3x+10 and 5x+10

=> 3x+10+5x+10=5x+7x

=>8x+20=12x

=>8x-12x=-20

=>-4x=-20

=>x=-20/-4

=>5

Therefore,the original ratio 3x and 5x are:-

3x= 3×5= 15 , 5x= 5×5= 25

HOPE IT HELPS ^_^