Question

The three number are in the 2:3 The
♡ , 2 , 3 4 The difference between the
greatest and smallest number is 36.
Find the numbers​

Answer 1

Answer:

Let the numbers be x/2, 2x/3 and 3x/4.

\begin{gathered} \frac{3x}{4} - \frac{x}{2} = 36 \\ \\ = \frac{(3x \times 2) - 4x}{4 \times 2} = 36 \\ \\ = \frac{6x - 4x}{8} = 36 \\ \\ = \frac{2x}{8} = 36 \\ \\ = \frac{x}{4} = 36 \\ \\ \\ x = 36 \times 4 = 144 \end{gathered}

4

3x

−

2

x

=36

=

4×2

(3x×2)−4x

=36

=

8

6x−4x

=36

=

8

2x

=36

=

4

x

=36

x=36×4=144

\begin{gathered} \frac{x}{2} = \frac{144}{2} = 72 \\ \\ \frac{2x}{3} = \frac{2 \times 144}{3} = \frac{288}{3} = 96 \\ \\ \frac{3x}{4} = \frac{3 \times 144}{4} = \frac{432}{4} = 108 \end{gathered}

Answer 2

Answer:

option d is correct

Step-by-step explanation:

72,96,108