the product of the ages of suyash before three years and after 5 years is 153 Find his today's age
Answers
Given : The product of the ages of Suyash before three years and after 5 years is 153.
To Find : his today's age.
Solution:
Let say Suyash today's age. = A years
before three years = A - 3
after 5 years = A + 5
(A+ 5)(A - 3) = 153
=> A² + 2A - 15 = 153
=> A² + 2A - 168 = 0
=> A² + 14A - 12A - 168 = 0
=> A(A+ 14) - 12(A + 14) = 0
=> (A + 14)(A- 12) = 0
=> A = - 14 or A = 12
Age can not be negative
Hence A = 12
Suyash today's age. = 12 years
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