Question

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

Answer 1

Answer:

35 and 25 years

Step-by-step explanation:

let the there present's age be X.

Then,

Age of. Sonal=7x

Age of Manoj=5x

Now,

After 10 years

Sonal age=7x+10

Manoj age=5x+10

A/Q

7x+10/5x+10=9/7

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

49x+70=45x+90

49x-45x=90-70

4x=20

X=5

Hence,

Sonal present age= (7×5)=35years

Manoj present age=(5×5)=25years

Answer 2

Answer:                                                                      

Age of Sonal =35

Age of Manoj =25

Step-by-step explanation:

Let the Present ages of Sonal and Manoj be 7x and 5x

After 10 years, their ages will be (7x +10) and (5x + 10)

Given $\frac{(7x +10)}{(5x + 10)} =\frac{9}{7}$

⇒7(7x + 10)= 9(5x + 10)

⇒49x+ 70= 45x + 90

⇒49x - 45x = 90-70

⇒4x= 20

⇒x=20/4=5

∴Age of Sonal = 7x = 7 x 5 =35

Age of Manoj = 5x = 5 x 5 =25

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