Question

Three no.s are in the ratio 2:3:4 respectively and their sum 54 find the number

Answer 1

let the numbers be 2x,3x,4x.

so,2x +3x +4x=54
9x=54
x=6

so the numbers are 12,18 and 24

Answer 2

Answer:

Largest number = 72

Step-by-step explanation:

Given

Three numbers are in ratio of 2:3:4

Sum of largest and smallest number = middle number + 54

Let the numbers be 2X, 3X, 4X

Here,

Smallest number = 2X

Largest number = 4X

According to the question,

2X + 4X = 3X + 54

6X = 3X + 54

6X - 3X = 54

3X = 54

X = 54/3

X = 18

Smallest number = 2X = 2 × 18 = 36

Middle number = 3X = 3 × 18 = 54

Largest number = 4X = 4 × 18 = 72