- Home/
- CDS & Defence/
- Article
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.
By BYJU'S Exam Prep
Updated on: September 25th, 2023
Two numbers are in the ratio 5: 6. If 8 is subtracted from each of the numbers, the ratio becomes 4: 5 the two numbers are 40 and 48. Comparing two or more quantities having the same units results in a ratio. p and q must be numbers, where q ≠ 0, p/q is the ratio of p to q. We can write it as p: q.
Table of content
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.
