Three numbers are in the ratio 4 : 5 : 6. If the sum of the largest and the smallest equals the sum of the second and 55, find the numbers. [3 MARKS]

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Solution

Concept: 0.5 Mark
Application: 1 Mark
Answer: 0.5 Mark each

Let the numbers be 4x, 5x and 6x.

4x + 6x = 5x + 55 [Given]

10x = 5x + 55

5x = 55

x = 11

So, numbers are, smallest number = 4x = 44

Largest number = 6x = 66

Other number = 5x = 55

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Similar questions

Three numbers are in the ratio of 4 : 5 : 6. If the sum of the largest and the smallest is equals to the sum of the third and 55, find the numbers.

Three numbers are in the ratio 3:4:5. If the sum of the largest and that smallest equals the sum of the second and 52, find the numbers.

4 : 5 : 6

55

2 : 3 : 4

54

3 : 4 : 5

64

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