5 Arun is years old while his mother's Mrs. Khanna
is years old. 5 years hence, Mrs. Khanna will be
three times as old as Arun Find their present ages
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ngshafannu
ngshafannu
03.10.2016
Math
Secondary School
+8 pts
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Ashu is x years old while his mother is x2 years old fice years hence she will be three times old as Ashu. Find their ages
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mathsdude85
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SOLUTION :
Given : Ashu's present age = x years
His mother Mrs Veena's present age = x² years
After 5 years,
Ashu's age will be = (x + 5) years
His mother Mrs Veena's age will be = (x² + 5) years
A.T.Q
(x² + 5) = 3(x + 5)
(x² + 5) = 3x + 15
x² - 3x -15 + 5
x² - 3x - 10 = 0
x² - 5x + 2x - 10 = 0
[By middle term splitting]
x(x - 5) + 2(x - 5)
(x + 2)(x - 5)
(x + 2) = 0 or (x - 5) = 0
x = -2 or x = 5
Since, x (age) can’t be negative, x ≠ - 2 , so x = 5.
Ashu's present age = x years = 5 years
And His mother Mrs Veena's present age = x² years = 5² = 25 years
Hence, Ashu's present age is 5 years and His mother Mrs Veena's present age is 25 years.
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