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wlad13 [49]
3 years ago
5

A value 5 times a smaller number is 1 less than a larger number. their difference is 73

Mathematics
1 answer:
salantis [7]3 years ago
8 0

Answer:

The numbers are 18 and 91

Step-by-step explanation:

You can translate the information to two equations:

<em>a value 5 times a smaller number is 1 less than a larger number</em>

5a = b - 1

<em>their difference is 73</em>

b - a = 73

Then you should merge one equation into the other, thereby eliminating one variable. You can do this any way you want. I choose to rewrite the first equation as:

b = 5a + 1

Now I can write 5a+1 in the second equation at the place where b was:

5a + 1 - a = 73

It is now an equation with only one variable, solve by simplifying

4a = 72

a = 18

Now b can be found using b = 5a + 1

b = 91

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