Question

Kalyan's present age is one-third his
mother's present age. If the mother's
age was five times his age 6 years ago,
what are their present ages?
don't spam on this question ❌❌❌​

Answer 1

Let the present age of kalyan's mother be x

so the kalyan's age is x/3

Kalyan's mother age before 6 years = x + 6

Kalyan age before 6 years = x/3 - 6

= x - 18/ 3

A/q

5 × x - 18/3 = x - 6

=> 5x - 90 = 3x - 18

=> 2x = 72

=> x = 36

so Kalyan's mother age is 36 yrs

Kalyans age is 12 yrs

Answer 2

$\bf{\Huge{\underline{\boxed{\bf{\green{ANSWER\::}}}}}}$

$\bf{\Large{\underline{\sf{\pink{Given\::}}}}}$

Kalyan's present age is one - third his mother's present age. If the mother's age was five times his age 6 years ago.

$\bf{\Large{\underline{\sf{\red{To\:find\::}}}}}$

Their present ages.

$\bf{\Large{\underline{\sf{\blue{Explanation\::}}}}}$

Let the age of kalyan's mother be R

Let the age of Kalyan's be $\bf{\frac{1}{3} R}$

• $\bf{\Large{\underline{\bf{\orange{Six\:years\:Ago\::}}}}}$

Kalyan's mother age is (R - 6) years

Kalyan's age is ${\frac{1}{3} R-6}years$

According to the question:

→ $\bf{(R-6)=5(\frac{1}{3} R-6)}$

→ $\bf{(R-6)=5(\frac{R-18}{3} )}$

→ $\bf{(R-6)=(\frac{5R-90}{3} )}$

→ 3R - 18 = 5R - 90

→ 3R - 5R = -90 + 18

→ -2R = -72

→ R = $\bf{\cancel{\frac{-72}{-2} }}$

→ R = 36 years

Thus,

The present age of kalyan's mother is 36 years.

The resent age of kalyan is $\bf{\cancel{\frac{36}{3}}}$ = 12 years.