Anubhav's present age is four times Amit's present age and four-fifth of his father present age. The sum of the present ages of all of them is 160 years. What is the difference between Amit;s present age and Anubhav's father's present age?
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72 years
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48 years
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68 years
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64 years
D
Correct answer
Explanation
Let Amit's age = A. Then Anubhav = 4A and Father = (4/5) of Anubhav = 5A. Sum: A + 4A + 5A = 160, giving 10A = 160, so A = 16 years. Father's age = 5A = 80 years. Difference between Father and Amit = 80 - 16 = 64 years. Express all ages in terms of one variable using the given relationships.