three numbers are in the ratio of 4:5:6.if the sum of largest and the smallest is the smallest is equal to the twice of 55.find the number
please give me the answer
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Answered by
1
Answer:
let the common multiple be x
the numbers will be 4x,5x, 6x
4x+6x=5x+55
10x=5x+55
5x=55
x=11
44,55,66 are the numbers
Answered by
1
Step-by-step explanation:
let the number be x
ratio = 4:5:6 = 4x:5x:6x
largest number = 6x
smallest number = 4x
twice of 55 = 2 × 55 = 110
sum of the largest number and smallest number = twice of 55
According to the problem....
6x + 4x = 2 × 55
10x = 110
x = 110/10
x = 11
therefore,
the number is = x = 11
the remaining numbers are ,
- 4x = 4×11 = 44
- 5x = 5×11 = 55
- 6x = 6×11 = 66
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