The sum of the five consecutive numbers is equal to 170. What is the product of largest and the smallest numbers?
Correct Answer: Description for Correct answer:
Let the five consecutive numbers are
x,(x + 1) and (x + 2),
(x + 3) and (x + 4).
According to the question,
x+x+1+x+2+x+3+x+4=170
5x + 10 = 170
=> 5x = 160
x = \( \Large \frac{160}{5} \)
= 32
Largest number = (x + 4)
= 32 + 4 = 36
Required product
= \( \Large 32\times 36 \) = 1152
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