The sum of two numbers is 60. The larger number is 22 more than the smaller number. What are the numbers?

Answer 1

Let the smaller number be x.

Since the larger number is 22 more than the smaller, larger must be x+22

Sum of the 2 numbers is 60, therefore our equation is x+(x+22)=60

or 2x+22 = 60

subtracting 22 from both sides, 2x=38

dividing both sides by 2 x=19

and x+22= 41

The two numbers are 19 and 41.

Answer 2

Hi there! I'd love to help you out!

First, let's assume our first smaller number is "x". To find the bigger number we just add 22 to our smaller number:

small # = x

bigger # = x + 22

Now we know the sum of these numbers is 60. Which means when we add our numbers they equal 60:

small number + big number = 60

x + x + 22 = 60

Now simplify and solve:

x + x + 22 = 60

2x + 22 = 60

-22 -22

2x = 38

/2 /2

x = 19

So our smaller number is 19. To find our bigger number, add 22 to 19:

smaller number = 19

bigger number = 19 + 22 = 41

There you have it! I hope this explanation was thorough and answered all of your questions. If you have any additional questions please don't hesitate to reach out! Learn on! :)