Question 547698: As my younger brother shouted out four consecutive integers, I divided each by my age (an integer), then added all four remainders to get 40. As he shouted out four other consecutive Integers,I divided each by his age (a different integer), added all four remainders, and again got 40. What is the sum of our ages.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! As my younger brother shouted out four consecutive integers, I divided each by my age (an integer), then added all four remainders to get 40.
As he shouted out four other consecutive Integers,I divided each by his age (a different integer), added all four remainders, and again got 40.
What is the sum of our ages.
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I came come up with:
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Your age is 38, the 4 consecutive numbers 75, 76, 77, 78
Divide by 38, gives remainders of 37, 0, 1, 2 = 40
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Your brother's is 21, the 4 consecutive numbers 40, 41, 42, 43
Divide by 21, give remainders of 19, 20, 0, 1 = 40
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the sum 38 + 21 = 59
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