Sum of three times the daughter's age and the mother's age is 70, and the sum of three times the mother's age and the daughter's age is 98.
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Age of daughter is 14 years and age of mother is 28 years.
Given:
- Sum of three times the daughter's age and the mother's age is 70,
- and the sum of three times the mother's age and the daughter's age is 98.
To find:
- Find the age of mother and daughter.
Solution:
Concept to be used:
- Assume the age of mother and daughter.
- Form pair of linear equations in two variables.
- Solve equations to find ages of both.
Step 1:
Let the age of daughter is x years and that of mother is y years.
So,
According to the first case;
and
Step 2:
Add and subtract both equations.
or
and
or
Step 3:
Solve eq3 and eq4
or
put the value of x in eq 3.
or
or
Thus,
Age of daughter is 14 years and age of mother is 28 years.
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