Question

The sum of two numbers is 48. One number is 3 times as large as the other. What are the numbers?

Answer 1

The two numbers are
`22.5 and 25.5`

Explanation:

Let the numbers be
`x and y.`
`y-x=3`
`y+x=48`
Adding the above expressions
`2y=51`
`y=51/2=25.5`
Subtracting the above expressions
`-2x=-45`
`x=(-45)/(-2)=22.5`

Check:
`lhs=y-x=25.5-22.5=3=rhs`
`lhs=x+y=22.5+25.5=48=rhs`
The two numbers are
`22.5 and 25.5`