SOLUTION: 4 times a certain number is as much less than 60 as 7 times the number is greater than 61. Find the number.

Question 625565: 4 times a certain number is as much less than 60 as 7 times the number is greater than 61. Find the number.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
4 times a certain number is as much less than 60 as 7 times the number is greater than 61. Find the number.

Let x = the number.  Replace the words "a certain number" and "the number"
both by x

4 times x is as much less than 60 as 7 times x is greater than 61. Find x

Replace the words "4 times x" by "4x" and "7 times x" by "7x"

4x is as much less than 60 as 7x is greater than 61. Find x

To find out how much less 4x is than 60 we subtract larger minus smaller,
or 60-4x

To find out how much greater 7x is than 61 we subtract larger minus
smaller or 7x-61.

Those are equal so the equation is

        60 - 4x = 7x - 61

Solve that equation and get x = 11

Edwin

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