When k is subtracted from each of 23, 35, 55 and 91, the numbers so obtained in this order are in proportion. What is the value of k?
Question
When k is subtracted from each of 23, 35, 55 and 91, the numbers so obtained in this order are in proportion. What is the value of k?
Solution
To solve this problem, we need to understand that the numbers are in proportion. This means that the ratio of the first two numbers is equal to the ratio of the last two numbers.
So, we can set up the following equation:
(23 - k) / (35 - k) = (55 - k) / (91 - k)
We can cross multiply to solve for k:
(23 - k) * (91 - k) = (35 - k) * (55 - k)
2093 - 114k + k^2 = 1925 - 90k + k^2
By simplifying, we get:
24k = 168
So, k = 168 / 24 = 7
Therefore, the value of k is 7.
Similar Questions
if number K, 5 and 25 are in continued proportion, then the value of k
Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is __________.Choices:- 27 33 49 55
What number is to be added to each of the numbers 4, 7, 14 and 22, so that they become the terms of a proportion?
(913 + 329 + 522 + 343) ÷ (18 + 24 ? + 18) = 43
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.