Question

Three numbers are in the ratio 4:5:6. If the sum of the largest and the smallest number equal to the sum of the third + 55. Find the numbers.??

Answer 1

6x+4x=5x+55

then 5x=55 so x=11

The numbers are 44,55,66

Answer 2

↑ Here is your answer ↓
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Let the numbers be,

$4x, 5x, 6x$

Now,

$6x + 4x = 5x + 55$

$10x = 5x + 55$

Open now,

$10x - 5x - 55 = 0$

$5x - 55 = 0$

$5x = 55$

$x = 55/5$

$x = 11$

So, the numbers are

$4x = 4*11 = 44$

$5x = 5*11 = 55$

$6x = 6*11 = 66$