Question

5 years ago, the age of Parvati was 4 times the age of her son. The sum of their present ages is 55 years. Find Parvati's present age ​

Answer 1

Answer:

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Answer 2

$\bf{\Huge{\underline{\boxed{\sf{\pink{ANSWER\::}}}}}}$

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

5 years ago, the age of Parvati was 4 times the age of her son. The sum of their present ages is 55 years.

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

The present age of Parvati's.

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

Let the present age of son be R years.

Let the present age of Parvati's be (55-R) years.

• $\bf{\large{\underline{\sf{\red{5\:years\:ago\::}}}}}$

The age of son = (R-5) years.

The age of Parvati's = (55-5-R) years

A/q

→ 50 - R = 4(R - 5)

→ 50 - R = 4R - 20

→ -R - 4R = -20 - 50

→ -5R = -70

→ R = $\bf{\cancel{\frac{-70}{-5} }}$

→ R = 14 years.

Thus,

The present age of Parvati's = (55 - 14) years

The present age of Parvati's = 41 years.