Figuring out two unknown numbers
The ratio given is 5: 6.
Assume the integers 5 and 6 where x is the multiple of the two numbers that occur frequently. Additionally, subtracting 8 from each of the integers 5x and 6x yields the ratio of two numbers as 4: 5.
(5x - 8)/ (6x - 8) = ⅘
5 (5x - 8) = 4 (6x - 8)
25x - 40 = 24x - 32
25x - 24x = 40 - 32
x = 8
Substitute x value in two numbers
5x = 5 x 8
5x = 40
x = 8
6x = 6 x 8
6x = 48
x = 8
Therefore, the two numbers are 40 and 48
Summary:
Two numbers are in the ratio 5: 6. If 8 is subtracted from each of the numbers, the ratio becomes 4: 5 find the numbers.
The ratio of two numbers is 5: 6. The ratio changes to 4: 5 if each number is reduced by 8. The two numbers are 40 and 48. Ratio is comparing two or more values which have the same unit.
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