One third of a number decreased by the second number equals 11. One third of the first number increased by the second number is equal to 1. What are the numbers?

Question

asked Aug 12, 2023 8.9k views

1 Answer

Rifferte · Answer 1 · 2023-08-17T12:24:13+0000

let the first number is a

the second number is b

so, it is given One-third of a number decreased by the second number equals 11,

also, One-third of the first number increased by the second number is equal to 1.

add both the equation

$\begin{gathered} 2*(a)/(3)=12 \\ a=18 \end{gathered}$

so the first number is a = 18

put a = 18 in the first equation

$\begin{gathered} 6-b=12 \\ b=6-12 \\ b=-6 \end{gathered}$

so the second number is -6

so the numbers are 18 & -6