A boy counts in 1/2 and another boy counts in doubles they reach a point where the difference between their numbers is 60.what are the number??

Question

A boy counts in 1/2 and another counts in doubles ..eg..2,4 etc...at a point they reach numbers whose difference is 60. What is the number

 

Answer 1

For the boy who counts in doubles, each number is a multiple of 2. This is represented by 2x.

For the boy who counts in halves, each number is a multiple of 0.5. This is represented by 0.5x. 

To show that the differences in their numbers must be 60, we can set up an equation:

60=2x-0.5x 

Solving for x we get, x = 40.

Now to figure out what their numbers are we plug 40 into the expressions that represent the boys' numbers.

For the boy who counts in doubles:

2x --> 2(40)=80 so his number is 80

For the boy who counts in halves:

0.5x --> 0.5(40)=20 so his number is 20.