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Mathematics

The present age of Salil's mother is three times Salil's present age. After 5 years, their ages will add up to 70 years. Find their present ages.

Polynomials

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Answer

Let Salil's present age be x years.

Then, his mother's present age = 3x years.

After 5 years:

Salil's age = (x + 5) years

Mother's age = (3x + 5) years

According to the question, the sum of their ages after 5 years will be 70 years.

So,

(x + 5) + (3x + 5) = 70

⇒ x + 5 + 3x + 5 = 70

⇒ 4x + 10 = 70

⇒ 4x = 70 - 10

⇒ 4x = 60

⇒ x = 604\dfrac{60}{4}

⇒ x = 15

So, Salil's present age = 15 years.

Mother's present age = 3 × 15 = 45 years.

Hence, Salil's present age is 15 years and his mother's present age is 45 years.

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