| Average age of 8 men is increased by 3 yr, when two of them whose ages are 30 yr and 34 yr are replaced by 2 persons. What is the average age of the 2 persons? [SSC (10+2) 2012] |
A) 24 yr
B) 32 yr
C) 44 yr
D) 48 yr
Correct Answer: C
Solution :
| Let the average age of 8 men be \[x\] yr. |
| Then, sum of ages \[=8x\] |
| \[\therefore \]\[\frac{8x+(\text{Age}\,\,\text{of}\,\,\text{2}\,\,\text{persons})-(30+34)}{8}=x+3\] |
| \[\Rightarrow \]\[8x+\](Age of persons) \[-\,\,64=8x+24\] |
| \[\Rightarrow \]Age of 2 persons \[=64+24=88\] |
| Hence, average age of 2 persons \[=\frac{88}{2}=44\,\,\text{yr}\] |
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