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How many positive integers less than 500 are equal to 5 times an even integer?

 Jun 17, 2020
 #1
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Even integers are multiples of 2, which means they are 2 times "something".

 

5 times 2 times "something" is 10 times "something". That means "5 times an even integer" is the multiple of 10.

 

The multiples of 10 (less than 500) are 10, 20, 30, 40, ..., 490.

 

Therefore there are 49 such integers.

 Jun 17, 2020

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