A mother is twice as old as her son. If 20 years ago, the age of the mother was 10 times the age of the son, what is the present age of the mother?

A mother is twice as old as her son. If 20 years ago, the age of the mother was 10 times the age of the son, what is the present age of the mother?
QuestionA mother is twice as old as her son. If 20 years ago, the age of the mother was 10 times the age of the son, what is the present age of the mother?
Typemultiple_choice
Option38 yearsincorrect
Option40 yearsincorrect
Option43 yearsincorrect
Option45 yearscorrect
SolutionLet the age of son = X years
∴Age of mother would be =2X
As per question 20 years ago;
10 (X -20) = 2X – 20
10X – 200 = 2X – 20
10X – 2X= – 20 + 200
8X = 180 X=180/8= 22.5 years
∴Age of mother = 22.5 * 2 = 45 years
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