Word Problems?

Question

One number is seven less than a second number. Six times the first is 2 times more than 2 times the second. Find the numbers

Answer 1

I think you have an extra "times" in the second sentence

 

Let X = first number

Let Y = second number

 

One number is 7 less than a second number  ==>  X = Y - 7

 

6 times the first is 2 more than 2 times the second  ==>  6*X = 2 + 2*Y

 

Substitute the value for X from the first equation in to the second equation 

 

6*(Y - 7) = 2 + 2*Y

6*Y - 42 = 2 + 2*Y

4*Y = 44

Y = 11

 

So X = 11 - 7 = 4