Anu's age is 4 years more than vinu's age.when 4 is added to their product.we get 169.find their ages
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Answer:
Vinu's age is 11 and Anu's age is 15.
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❥︎ Let Vinu's age be x years & so, Anu's age will be (x + 4) years. [Because Anu's age is 4 years more than vinu's age.]
❥︎ When 4 is added to their product, we get 169.
➪ (x)(x + 4) + 4 = 169
➪ x² + 4x + 4 = 169
➪ x² + 4x + 4 - 169 = 0
➪ x² + 4x - 165 = 0
➪ x² + 15x - 11x - 165 = 0
➪ x(x + 15) - 11(x - 15) = 0
➪ (x+15) (x-11) = 0
➪ x= (-15) or x = 11
The age can't be negative.
➪ x = 11 years
Hence, the age of Vinu is 11 years.
Anu's age is (x+4) years.
➪ 11 + 4 = 15 years
Hence, the age of Anu is 15 years.
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