Question

The sum of three numbers which in the ratio 2:5:7 is 28.Find the three numbers.​

Answer 1

Let the three numbers be 2x,5x and 7x

It is given that the numbers 2x,5x−7,7x are in A.P

Therefore 2(5x−7)=2x+7x

⇒10x−14=9x

⇒x=14

Therefore the numbers are 28,70,98.

Answer 2

Given:

• The sum of three ratios, (2:5:7) =  28

To Find:

• The three numbers.

Solution:

• Let 2:5:7 be named as 2x,5x, and 7x
• 2x+5x+7x = 28, from the given data.
• 14x = 28 ⇒ x = 28/14 = 2
• Substitute the value of x in the ratio given to find the three numbers.
• First number, 2x = 2*2 = 4
• Second number, 5x = 5*2 = 10
• Third number, 7x = 7*2 = 14

∴ The three numbers are 4, 10, and 14.