person's present age is half the present age of his mother 10 years ago the mother thrice years as old what are there present ages
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Step-by-step explanation:
Let the age of the person and his mother be x/2 years and x years.
Ten years ago:
person age = (x/2 - 10) years
mother age = ( x - 10 ) years
According to the question :
3(x/2 - 10) = x - 10
3(x - 20/2 ) = x - 10
3x - 60 = 2 ( x - 10)
3x - 60 = 2x - 20
3x - 2x = (-20) + 60
x = 40
Hence , the current age of mother is 40 years
and the person is 40 / 2 = 20 years
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