Question

Two times a number, decreased by 12 equals three times the number, decreased by 15.
Which is the number?
a) 1
(b) 2
(C) 3
(d) 4​

Answer 1

Step-by-step explanation:

Hope my answer helps you

Step-by-step explanation:12-2x=15-3x

X should always be solved together and constants should be solved together thus,

-2x+3x=15+12

x= 27

Answer is x=27

Answer 2

Topic

Linear Equations

Given

Two times a number decreased by 12 equals three times the number decreased by 15.

To Find

The given number.

Method

We will first convert the given statements into equations and then we will solve the equation.

Solution

Let the number be 'x'.

It is given that two times the number is decreased by 12.

→ 2x - 12

Now, it is given that three times the number is decreased by 15.

→ 3x - 15

It is given that both equations are equal.

2x - 12 = 3x - 15

15 - 12 = 3x - 2x

3 = x

So, x = 3.

Answer

So, the number which satisfies the given statements is 3 which is option C.