Question

Three numbers are in the ratio of 2:3:4. The sum of the lergest and smallest

number is equal to the middle number plus 54. Then the tergest number is equal
(1) 54 (2) 82 (3) 74 (4) 72​

Answer 1

Hey User !

=) 72 .

Explanation :-

Let the three numbers be 2x,3x,4x.

So,by given condition

2x+4x=3x+54

x=18.

Hence , largest number=4x

=4× 18

=72.

Hope , It Helps .

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

Hence,

The largest number is (4). 72