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The difference of two numbers is 40. Their sum is 66. Find the numbers.

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Let the 2 numbers be a and b. Let a be the larger.

i) "The difference of two numbers is 40" means: a-b=40, thus
a=b+40

ii) "their sum is 66" means : a+b=66


In i) we found that a=b+40, so substitute a=b+40 in ii):

a+b=66
(b+40)+b=66
2b+40=66
2b=26
b=13

a=b+40=13+40=53


the numbers are 53 and 13

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