Question

When a number is divided by 4 and has 12 subtracted from it, the result is ⅙ of the number. What is the number?​

Answer 1

Answer:

Let the number be X.

X/4 -12 = X/6

X - 48 / 4 = X/6

Cross multiplying

4X = 6(X -48)

4X = 6X - 288

288 = 6X -4X

288 = 2X

144 = X.

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Answer 2

Answer:

144

Step-by-step explanation:

Let the number be x.

As per given question, the following equation can be formed.

4

x

−12=

6

1

x

⇒

4

x−48

=

6

1

x

⇒x−48=

6

4

x

⇒x−48=

3

2

x

⇒3x−144=2x

⇒3x−2x=144

⇒x=144