Question
The average age of 10 men is increased by 2 years when
two of them whose age are 24 and 26 years replaced by two new men. The average age of the two new men is?Solution
Let the sum of age of 10 men = 10x And the age of two new men = y yrs According to the question, 10x - 24 -26 + y = 10(x+2) 10x - 50 + y = 10x + 20 y = 70 Average age of New men = y/2 = 70/2 = 35 years Alternate method: Sum of ages of two new persons = sum of ages of two persons repaled + change in average ×number of persons = 26+24+2×10 = 50 + 2×10 =50+20 = 70 So average of ages of new persons = 70/2 = 35 years
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