SOLUTION: Ali is 14 years old. His mother is three times as old as he is. In x years' time, his mother will be twice as old as Ali. Form an equation in x and hence find x.
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Question 1051835: Ali is 14 years old. His mother is three times as old as he is. In x years' time, his mother will be twice as old as Ali. Form an equation in x and hence find x. Answer by ikleyn(52788) (Show Source):
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Ali is 14 years old. His mother is three times as old as he is. In x years' time, his mother will be twice as old as Ali.
Form an equation in x and hence find x.
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Ali's mother is 3*14 = 42 years now.
In x years . . .
2*(14 + x) = 42 + x.
28 + 2x = 42 + x,
2x - x = 42 - 28,
x = 14.
Answer. In 14 years.