Question

Rohan's mother is 26 years older then him the product of their ages in year 3 years from now will be 360 find the Rohan's present age
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Answer 1

Answer:

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Answer 2

Given:

• Rohan's mother is 26 years older than him and the product of their ages after 3 years will be 360.

To find:

• Rohan's present age.

Solution:

❐ Let the present age of Rohan be x years, then according to the given condition, his mother's age will be (x + 26) years.

After three years,

• Rohan's age = (x + 3)

According to the question,

• The product of their ages after 3 years will be 360, therefore,

⇒ (x + 3) (x + 29) = 360

⇒ x(x + 29) + 3(x + 29) = 360

⇒ x² + 29x + 3x + 87 = 360

⇒ x² + 32x + 87 - 360 = 0

⇒ x² + 32x - 273 = 0

⇒ x² + 39x - 7x - 273 = 0

⇒ x(x + 39) - 7(x + 39) = 0

⇒ (x + 39) (x - 6) = 0

⇒ x = -39 or x = 7

• Age can never be negative, so, we have x = 7.

Hence, Rohan's present age is 7 years.

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