At father is twice as old as his son. 20 year ago the age of father was 12 times of the son . the present age of the father is
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Answer:
let son age = x
father is twice as son= x+x = 2x
20 yrs old the father is 12 times of his son
20x+12
33
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☯ Let present age of son be x
☯ Therefore, present age of father is 2x
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★ According to Question
20 year ago the age of father was 12 times of the son.
Therefore,
- Age of son 20 years ago = (x - 20)
- Age of his father 20 years ago = (2x - 20)
➯ 2x - 20 = 12(x - 20)
➯ 2x - 20 = 12x - 24
➯ 2x - 12x = - 240 + 20
➯ - 10x = - 220
➯ x = - 220/-10
➯ x = 22
Hence,
- Present age of son, x = 22 years
- Present age of father, 2x = 2 × 22 = 44 years
∴ Present age of father and his son is 44 years and 22 years respectively.
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