Question

Read, Think, Analyse and solve by applying linear equations.

1. Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallest equals to the sum of the third and 55. Find the numbers.​

Answer 1

44, 55, 66

Explanation:

the ratio of the 3 numbers is 4 : 5 : 6 = 4x : 5x : 6x ( x is a multiplier ) , then

6x + 4x ← sum of largest and smallest

5x + 55 ← sum of the third and 55 , then

6x + 4x = 5x + 55

10x = 5x + 55 ( subtract 5x from both sides )

5x = 55 ( divide both sides by 5 )

x = 11

the 3 numbers are then

4x = 4 × 11 = 44

5x = 5 × 11 = 55

6x = 6 × 11 = 66