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CaHeK987 [17]
4 years ago
10

the larger of two positive numbers is 5 more then the smaller. The product of the numbers is 66. find the numbers

Mathematics
1 answer:
Serjik [45]4 years ago
7 0

Answer: 30.5 and 35.5

Step-by-step explanation:

We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.

x=y+5

x+y=66

Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5

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The result is

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The reason is the following:

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By applying this to our question, we obtain that:

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9

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