The difference of two numbers is 7. Three times the greater number is 72. find the numbers

Question

asked Mar 17, 2022 72.1k views

1 Answer

Sephiith · Answer 1 · 2022-03-23T22:28:56+0000

Answer:

$\huge\boxed{\tt{x = 24, y = 17}}$

Explanation:

Let the greater number be x and the smaller number be y.

So,

Condition # 1:

x - y = 7 --------------(1)

Condition # 2:

3x = 72 --------------(2)

Taking Eq. (2)

3x = 72

Divide both sides by 3

x = 72 / 3

x = 24

Now, Put x = 24 in Eq. (1)

24 - y = 7

Subtract 24 to both sides

-y = 7 - 24

-y = -17

y = 17

$\rule[225]{225}{2}$

Hope this helped!