Question

The larger of two numbers is five more than the smaller number. If the sum of the numbers is 59, find the numbers

Answer 1

Answer:

27 and 32.

Step-by-step explanation:

Let the two numbers be A and B.

The larger number (let's use B) is 5 more than the smaller one (A). In other words:

$B=5+A$

Their sum is 59. So:

$A+B=59$

This is a system of equations. Solve by substituting the first equation into the second. Thus:

$A+(5+A)=59$

Combine like terms:

$2A+5=59$

Subtract 5 from both sides:

$2A=54$

Divide both sides by 2:

$A=27$

So, the smaller number is 27.

This means that the bigger number is 27+5=32.

So, the two numbers are 27 and 32.

And we're done!