A mother say her daughter "5 year ago I was 5 themes old as you but 10 years hence I shall be only twice as old as you be. find the present age of mother and daughter
Answers
Answer:
Mother: 30
Daughter: 10
Step-by-step explanation:
Let the present age of the daughter be x.
Five years ago, age of the daughter was x - 5 and the mother was 5 times old as her, that is, she was 5×(x-5) years old back then. So at present, that is, after the 5 years, the mother's age is {5 × (x - 5)} + 5 = 5x - 20 ....eqn(i)
Ten years later, the daughter will be x + 10 years old and the mother will be 2 × (x + 10). So at present, that is 10 years prior to this future time, her mother has to be {2 × (x + 10)} - 10 = 2x + 10 .... eqn (ii)
Comparing the mother's present age obtained from equations (i) and (ii),
5x - 20 = 2x + 10
Solving, x = 10.
That is, the present age of the daughter is 10.
the present age of the daughter is 10.And the present age of her mother is, 30.
Check:
5 years back
daughter's age: 5
mother's age: 25 which is 5 times 5
10 years hence
daughter's age: 20
mother's age: 40 which is twice 20
Hence, correct!
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