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 =
⇒ 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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