| Average age of 6 sons of a family is 8 yr. Average age of son together with their parents is 22 yr. If father is older than the mother by 8 yr, then the age of mother is |
A) 44 yr
B) 52 yr
C) 60 yr
D) 68 yr
Correct Answer: C
Solution :
| Let the mother's age be x yr. |
| \[\therefore \] Father's age \[=(x+8)\,yr\] |
| Average age of 6 sons = 8 yr |
| \[\therefore \] Sum of ages of 6 sons \[=8\times 6=48\,yr\] |
| Sum of age of 6 sons and parents \[22\times 8=176\] |
| \[\therefore \] Sum of age of parents \[176-48=128\,yr\] |
| According to the question, |
| \[x+x+8=128\] |
| \[\Rightarrow \] \[2x=120\]\[\Rightarrow \]\[x=60\] |
| \[\therefore \] Mother's age = 60 yr |
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