Question

Write the Let/Then and set up the equation solve the equation and solve the following problems. One number is five larger than another number. Together they are 47. What are the two numbers?

Answer 1

Set up two equations

Let X equal the first number
Let Y equal the second number

`X + 5 = Y` ( where x is the smaller number )
`X + Y = 47`

Putting the value of x into the second equation gives

`X + X + 5 = 47`

Combine the X terms and subtract 5 from both sides

`2X + 5 - 5 = 47 -5`

This gives

`2X = 42`

Divide both sides by 2

`2X/2 = 42/2`

`X = 21`

Solve for Y

`21 + 5 = 26`

`Y = 26`