Question 19

The mean of 5 numbers is 105 . The first number is $$\frac{2}{5}$$ times the sum of the other 4 numbers. The first number is

Correct Answer: 150

Solution

The five numbers add up to $$5 \times 105 = 525$$. If the first number is $$f$$, the other four add up to $$525 - f$$, so $$f = \frac{2}{5}(525 - f)$$. This gives $$5f = 1050 - 2f$$, so $$7f = 1050$$ and $$f = 150$$.

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