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
