Question

The sum of 2 numbers is 24. The difference between the greater number is 18 Find the greater number

Answer 1

The greater number is 21, this is correct since 21 + 3 is 24, and 21 - 3 is 18. Thus, it fulfills all necessary requirements

Answer 2

Hey there!!

Looking at the question, we know that there are two numbers.

• Let's take the first number or the larger number as 'x'
• Let's take the second number or the smaller number as 'y'.

As stated:

1. The sum of two numbers, x and y is 24
2. The difference of the greater and smaller number is 18.

Taking equations:

... x+y=24 --- (1)

... x-y=18 --- (2)

Now, let's add both the equations.

... 2x=42

... x=42/2

...x=21

Hence, the larger number is 21.

Based off this, we will know that the smaller number is 3

Hence, the smaller number is 3

Hope my answer helps!