Question

three number are in the ratio 4:5:6.if the sum of the largest and the smallest number equals the sum of the third plus 55,find the number

Answer 1

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

4x+6x =5x+55, or

10x - 5x = 55, or

5x = 55, or

x = 11.

So the three numbers are 44, 55 and 66.

Check:44+66 + 110 which is the same as 55+55. So correct.

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Answer 2

Answer : 44,55 and 66

Solution :
__________

Let, the numbers are 4x,5x and 6x

Given that : the sum of largest and the smallest number equals the sum of the third plus 55

Now, according to the question :

$6x + 4x = 5x + 55 \\ \\ = > 10x = 5x + 55 \\ \\ = > 5x = 55 \\ \\ = > x = \frac{55}{5} = 11$
So, the numbers will be : 4x = 4×11 = 44

5x = 5×11 = 55 and

6x = 6×11 = 66