Somu's mother is elder to him by 20 years. After three years square of the age of Somu is 8 more than twice the age of his mother. Find their present ages.
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Answer:
Step-by-step explanation:
let somu's age = x
let the mothers age = x +20
we can form the equation
(x+3)² = 2(x+23) + 8
solving this,
x² + 6x + 9 = 2x + 46 + 8
x² + 6x - 2x = 46 + 8 -9
x² + 4x - 45 = 0
solving the quadratic equation,
x² + 9x - 5x -45 = 0
(x+9)(x-5) = 0
we get values of x as -9 and 5
since age cant be negative
x = 5
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