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The larger of two numbers is 12 more than the smaller number. If the sum of two numbers is74, find the two numbers

User Hans L
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2 Answers

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Answer:

43, 31

Explanation:

Pick two numbers for variables, like a and b.

Let a be the greater number.

The largest of two numbers is 12 more than the smaller number translates to (the word "is" means equals sign)

a = 12 + b

They told you the sum of the two numbers is 74, and that translates to (sum means to add)

a + b = 74.

Now, solve for b, so you get

b = 74 - a.

Plug this back into the first equation of a = 12 + b and you get

a = 12 + (74 - a)

Now, solve for a

a = 86 - a

2a = 86

a - 43

Now, you need to answer the question asked and find b. Well, look at your two original equations

a + b = 74

43 + b = 74

b = 31

User Joe Basirico
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7 votes
oh i got this, i can solve it for you
User Gabe
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