Question

The ages of Sonal and Manoj are in the ratio 7:5ten years hence, the ratio of their ages will be 9:7.find their present ages

Answer 1

Given the ratio of ages of sonal and manoj are in the ratio 7:5

Let present age of sonal be 7x and that of manoj be 5x

After 10 years, the ratio of their ages changes to 9:7

Then let the ratio of ages of sonal and manoj be 9x and 7x respectively

∴Age of sonal after 10 years is (7x+10) and that of manoj after 10 years is (5x+10)

By the conditions

(7x+10)+(5x+10)=9x+7x

12x+20=16x

∴4x=20

x=5

∴The present age of sonal is 7x=7×5

                                                    =35years

The present age of manoj is 5x=5×5

                                                    =25years

Answer 2

let the age of sonal and monaj be 7x and 5x respectively as their ratio

after ten years ,

7x+10/5x+10=9/7..........(1)

solving eq(1) we get ,

x=5

therefore,

sonal's age is 7x=7(5)=35

manoj's age is 5x=5(5)=25