Question 57

The average of 4 terms is 30 and the Ist term is $$\frac{1}{3}$$ of the sum of the remaining terms. What is the first term?

Solution

Sum of the 4 terms = average $$\times$$ no. of terms = 30 $$\times$$ 4 = 120

1st term = $$\frac{1}{3}$$ of the sum of the remaining terms

1st term = $$\frac{1}{3}$$ of the sum of the (all terms - )

$$\frac{first term}{3} + first term = 120 \times \frac{1}{3}$$

1st term $$\times$$ $$\frac{4}{3}$$ = 40

1st term = 30

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