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larger of two numbers is 13 more than twice the smaller number. the sum of the numbers is 52. find each number

Answer :

Answer:

13 and 39

Step-by-step explanation:

let the smaller number be n then the larger number is 2n + 13 , so

n + 2n + 13 = 52

3n + 13 = 52 ( subtract 13 from both sides )

3n = 39 ( divide both sides by 3 )

n = 13

2n + 13 = 2(13) + 13 = 26 + 13 = 39

then smaller number is 13 and larger number is 39

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