Question

Three times a number increased by 9

is equal to twice the number decreased
by 4. Find the number

Answer 1

- 35

Explanation:

let the number be n then increased by 9 is n + 9 and decreased by 4 is n - 4 , so

3(n + 9) = 2(n - 4) ← distribute parenthesis on both sides

3n + 27 = 2n - 8 ( subtract 2n from both sides )

n + 27 = - 8 ( subtract 27 from both sides )

n = - 35

that is the number is - 35

Answer 2

Hello There!!

Let the number be "x"

According To Question

`3x + 9 = 2x - 4`

Solving It

`3x + 9= 2x - 4 \\ \\ \implies 3x - 2x = - 4 - 9 \\ \\ \implies x = - 13`

`\therefore \text{the required number is = - 13}`

Hope this helps