Question

The present age of Ram and Shyam are in the ratio 5:7.Ten years from now their ages will be in the ratio 7:9.Find their present ages.

Answer 1

Let the present age of Ram be x and that of Shyam be y.

⇒$\frac{x}{y}$ = $\frac{5}{7}$
⇒x = $\frac{5y}{7}$

After ten years, their ages will be x + 10 and y + 10 resp.
⇒$\frac{x+10}{y+10}$ = $\frac{7}{9}$
⇒9x+90 = 7y+70
but x = 5y/7
⇒9(5y/7)+90 = 7y + 70
⇒(45y/7)+90 = 7y + 70
⇒45y+630 = 7(7y+70)
⇒45y+630 = 49y + 490
⇒4y-140 = 0
⇒4y = 140
⇒y = 35

⇒x = 5(35)/7
⇒x = 25

Therefore, the present ages of Ram and Shyam are 25 and 35 resp.

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Answer 2

Answer:

X=5

Ram= 25

Shyam=35

Step-by-step explanation:

Let the unit be x

Ram=5x

Shyam=7x

10 years later

Ram=5x+10

Shyam=7x+10

new ratio = 7:9

so,

ATQ

5x+10 =7

7x+10. 9

cross multiply

45x+90 = 49x+70

45x-49x=70-90

-4x= -20

-x=-5

so,

Ram=5x=5×5=25

Shyam=7x=7×5=35

I Hope it helped ^-^