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In fourteen years time, a mother will be twice as old as her son. Four years ago, the sum of their ages was 30 years. Find how old the mother was, when the son was born.
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Jul 21, 2021
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Mathematics Form 1
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anonymous
In fourteen years time, a mother will be twice as old as her son. Four years ago, the sum of their ages was 30 years. Find how old the mother was, when the son was born.
rates and proportions
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Jul 21, 2021
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anonymous
Let mother's years be x and son's be y
x+14= 2(y +14)
x+14= 2y + 28
x-2y = 14
(x-4)+(y-4) = 30
x +y = 38
(x- 2y= 14)
-(x+ y= 38)
= -3y=-24
=3y=24
y=8( son's age currently)
x+y=38
x=30( mother's age currently)
At son's birth, mother's age = 30-8=22 years
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