One number added to three times another is 24. Five times the first number added to three times the other number is 36. Find the numbers.

Question

asked Aug 13, 2021 103k views

1 Answer

Achmed Zuzali · Answer 1 · 2021-08-18T14:14:59+0000

Answer:

3, 7

Explanation:

Substitute "one number", etc., with variables:

$a+3b=24\\5a+3b=36$

This gives us a solvable system of equations. To solve this, solve for a in the first equation:

$a+3b=24\\a=24-3b$

Substitute a into the second equation and simplify:

$5a+3b=36\\5(24-3b)+3b=36\\120-15b+3b=36\\120-12b=36\\-12b=-84\\b=7$

Substitute the value of b into the first equation:

$a+3(7)=24\\a+21=24\\a=3$