Mathematics
funnyface
32

How do I write the sum of two numbers as the product of their GCF and another sum

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(1) Answers
reginabrown56

Let's assume we were given 2 numbers: 15 and 30. Their sum is: [latex] 15+30 = 45 [/latex] We want to express it as the product of GCF and another sum. 15 is divisible by: 1, 3, 5, 15 30 is divisible by: 1, 2, 3, 5, 6, 10, 15, 30 The greatest number that appears in 2 series is 15. [latex] \frac{15}{15} = 1 [/latex] [latex] \frac{30}{15} = 2 [/latex] In this case sum of two numbers can always be written as: [latex] 15+30 = (15\cdot 1) + (15\cdot 2) = 15\cdot (1+2) = 15\cdot 3 = 45 [/latex]

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