Question

Three numbers are in the ratio 4:5:6. Find each of the numbers if the sum of the largest number and
smallest number is equal to the sum of the third number and 55

Answer 1

Answer:

First Number is 55. Second is 68.75. And third is 82.5

Step-by-step explanation:

Let's assume that 4:5:6 be 4x, 5x and 6x.

According to the question.

$4x + 6x = 6x + 55 \\ 4x = 55 \\ x = \frac{55}{4} \\ x = 13.75 \\ 4x = 4 \times 13.75 = 55 \\ 5x = 5 \times 13.75 = 68.75 \\ 6x = 6 \times 13.75 = 82.5$

Let's prove it by making the sum of the smallest number and largest number = third number and 55.

$55 + 82.5 = 82.5 + 55 \\ 137.5 = 137.5$

CREDITS: Jadama Saleem Class 11th.