Question

PRESENT AGE OF RAJ AND ANU ARE IN RATIO IS 3:5 AFTER 7 YEARS FROM NOW THE RATIO OF THEIR AGE WILL BE 11:16 WHAT IS THE AGE OF RAJ *​

Answer 1

Present age of Raj and Anu are in ratio is 3:5

Let their ages be:

Raj = 3x

Anu = 5x

Afetr 7 yrs the ratio will be = 11:16

Thus, after 7 yrs their ages would be:

Raj = 3x + 7

Anu = 5x + 7

Hence, ATQ.

$\huge { \frac{3x + 7}{5x + 7} = \frac{11}{16} }$

= $\large {16(3x + 7) = 11(5x + 7) }$

= $\large {48x + 112 = 55x + 77 }$

= $\large {-77 + 112 = 55x - 48x }$

= $\large {35 = 7x }$

= $\large { 7x = 35 }$

= $\large { x = \frac{35}{7} }$

= $\large { x = 5 }$

Thus, Present age of Raj

= 3x

= 3 × 5

= 15yrs (Ans)

Hope this helped...