Question

The ages of A,B,C are ratio 7:9:12 and their sum of ages 168 find the ages of A,B, and C also the of A after 7 year

Answer 1

$\blue {\rm \huge \underline{S \large OLUTION}}$



Let the age of
A = 7x
B = 9x
C = 12x


$\sf{\large{\underline{\underline{Given \colon}}}}$

Ratio of Age of A, B, C = 7 : 9 : 12
Sum of Age = 168


$\sf{\large{\underline{\underline{Explanation \colon}}}}$

Sum of Age of A, B and C = 168
⇒ 7x + 9x + 12x = 168
⇒ 28x = 168
⇒ x = $\dfrac{168}{28}$
⇒ x = 6

After 7 years,

Age of A =
⇒ 7x + 7
⇒ 7 × 6 + 7
⇒ 42 + 7
⇒ 49 years

Age of B =
⇒ 9x + 7
⇒ 9 × 6 + 7
⇒ 54 + 7
⇒ 61 years

Age of C =
⇒ 12x + 7
⇒ 12 × 6 + 7
⇒ 72 + 7
⇒ 79 years