Question 31

The average age of a class of 6 girls is x years. Four new girls having ages x - 2, x + 2, x + 4 and x + 6 joins the class. What is the new average age (in years) of the class?

Solution

The average age of a class of 6 girls = $$x$$ years

=> Total age of 6 girls = $$6x$$ years

Sum of ages of 4 new girls = $$(x-2)+(x+2)+(x+4)+(x+6)=(4x+10)$$ years

=> New average age of 10 girls = $$\frac{6x+4x+10}{10}$$

= $$\frac{10(x+1)}{10}=x+1$$ years

=> Ans - (A)

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