Question

When six times a number is reduced by 9 it becomes 45. Find the number

Answer 1

let the number be A.

then

6A-9=45,

6A=45+9,

6A=54,

A=54/6,

A=9

Answer 2

Answer:

9

Step-by-step explanation:

$\text{Let the no. be x}\\\\\text{According to the question,}\\\\6x-9 = 45\\\\\implies 6x = 45 + 9 = 54\\\\\implies x = \dfrac{54}{6}\\\\\\\implies x = \large \underline{\boxed{\boxed{\bold{9}}}}$

Justification:

$\text{Put x = 9 in 6x-9 = 45}\\\\6(9) - 9 = 45\\\\\implies 54 - 9 = 45\\\\\implies 45 = 45\\\\\implies L.H.S. = R.H.S.$

Hope it helps.