Question

three numbers are in the ratio 1/2:2/3:3/4.The difference between the greatest and the smallest number is 36.The numbers are?

Answer 1

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

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

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

∴ The numbers are 72, 96 and 108.

Hope this may be helpful.

Please mark my answer as the brainliest if this may be helpful.

Thank you. Have a nice day.

Answer 2

Answer:

72,96,109

Step-by-step explanation:

x/2-3x/4=36

2x/8=36

x/4=36

x=144

x/2=72

2x/3=96

3x/4=108