jadagarren jadagarren

30-11-2017
Mathematics

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The sum of two numbers is 110. The larger number is 2 less than 7 times the smaller. Find the larger number.

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chudung1976 chudung1976

30-11-2017

We call two numbers a and b, notice a>b
The sum of two numbers is 110: a+b=110
The larger number is 2 less than 7 times the smaller: a=7b-2
And by replacing a=7b-2 we have an equation: 7b-2+b=110
or 8b=110+2, and 8b=112, that means b=112:8= 14

We have two numbers: 14 and 96

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