Question

three numbers are in the ratio 2:3:4. if sum of the largest and smallest equals the sum of the third and 54.what is the largest number.

Answer 1

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