Question

Two numbers are in ratio 5:6 .if 8is subtracted from each, the ratio become 4:5.find the number...??

Answer 1

Hi there !!
Here's your answer

Let the common factor be x

1st Number = 5x
2nd Number = 6x

If 8 is subtracted from each,
1st Number = 5x - 8
2nd Number = 6x - 8

Then, their ratio is 4 : 5

So,
the following balanced equation will be formed

$\frac{5x - 8}{6x - 8} = \frac{4}{5}$

$5(5x - 8) = 4(6x - 8)$

$25x - 40 = 24x - 32$

$25 x- 24x = - 32 + 40$

$x = 8$
So,

1st Number = 5x = 5(8) = 40

2nd Number = 6x = 6(8) = 48

Thus,
the two numbers are 40 and 48

Answer 2

Let the numbers be 5x and 6x

5x-8+6x-8=4x+5x
11x-16=9x
11x-9x=16
2x=16
x=16/2
x=8

The numbers are 40 and 48

Hope it will help you


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