Question

ram is youngar than sam by 7 years.if the ratio of their ages 7:9 .find the age of ram?​

Answer 1

$\sf\underline{Step-by-step \: explanation}$

Let Ram's age be 7x and Sam's age be 9x (According to the ratio)

According to the question,

To make their ages equal to solve the equation,

Ram + 7 years = Sam's age

7x + 7 = 9x

9x - 7x = 7

2x = 7

x = 3.5

Ram's age,

7x = 7 × 3.5

= 24.5

Sam's age;

9x = 31.5

Hence; Ram's age is 24.5 years

Verification :

Sam - Ram = 7

31.5 - 24.5 = 7

7 = 7

LHS = RHS

$\sf\dfrac{Sam}{Ram}$ = $\sf\dfrac{7}{9}$

$\sf\dfrac{24.5}{31.5}$ = $\sf\dfrac{7}{9}$

Cutting out the decimals (Multiply the decimals with 10)

$\sf\dfrac{245}{315}$ = $\sf\dfrac{7}{9}$

$\sf\dfrac{49}{63}$ = $\sf\dfrac{7}{9}$

$\sf\dfrac{7}{9}$ = $\sf\dfrac{7}{9}$

Hence Verified!