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The present age of a father …

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The present age of a father is three yrs more than three times the age of the son. Three yrs hence father age will be ten yrs more than twice the age of the son. Determine the age of father and son.

Posted by Aastha Sharma 6 years, 9 months ago

CBSE > Class 10 > Mathematics

2 answers

Riya Deepak 6 years, 9 months ago

Answer: age of son is 10 and age of father is 33 Let the present ages of the father and son be x and y respectively. According to the question: X=3+3y 3y-x+3=0 -eq.1 3 years hence Father's age = x+3 Son's age = y+3 According to the question: X+3=10+{2(y+3)} X+3=10+2y+6 2y-x+13=0 -eq.2 Subtracting eq.2 from eq.1 2y-x+13=0 (-) 3y-x+3 =0 ----------------------- -y+10=0 Y=10 Solve for x from eq.1 X=3+3y X=3+3*10 X=33

Amira Roy❤ 6 years, 9 months ago

Let father = x, son = y x = 3y + 3 x + 3 = 2(y + 3) + 10 3y + 3 + 3 = 2y + 6 + 10 3y + 6 = 2y + 16 3y - 2y = 16 - 6 y = 10 x = 3y + 3 x = 3 × 10 + 3 x = 30 + 3 x = 33 The present age of the father is 33 years and the present age of son is 10 years

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