The sum of two numbers is 54. The smaller number is 18 less than the larger number. What are the numbers?

Mathematics

1 answer:

igomit [66]2 years ago

8 0

Answer:

The larger number is 37. This makes the smaller number 56 - 37, which is 19.

Step-by-step explanation:

The first step is to pick variables for the two numbers. Lets call the smaller number x and the larger number y.

Since the sum of the two numbers is 56, this means that x + y = 56. Let's call this equation 1 and save it for later.

The next sentence says:

The smaller number is 18 less than the larger number. So, 18 less than the larger number would be y - 18. So, the smaller number must be equal to this, so

x = y - 18

Replace the x in equation 1 with y - 18

x + y = 56

(y-18) + y = 56 (replace x with y-18)

2y - 18 = 56 (add the y's)

2y = 74 (add 18 to both sides)

y = 37 (divide both sides by 2)

So, the larger number is 37. This makes the smaller number 56 - 37, which is 19.

Hope this helps!! :)

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