Advertisements
Advertisements
Question
If (a – b) : (a + b) = 1 : 11, find the ratio (5a + 4b + 15) : (5a – 4b + 3).
Advertisements
Solution
(a – b) : (a + b) = 1 : 11,
`(a - b)/(a + b) = 1/11`
11a – 11b = a + b
10a = 12b
`a/b = 12/10 = 6/5`
So, let a = 6k and b = 5k
`(5a + 4b + 15)/(5a - 4b + 3) = (5(6k) + 4(5k) + 15)/(5(6k) - 4(5k) + 3)`
= `(30k + 20k + 15)/(30k - 20k + 3)`
= `(50k + 15)/(10k + 3)`
= `(5(10k + 3))/(10k + 3)`
= 5
Hence, (5a + 4b + 15) : (5a – 4b + 3) = 5 : 1
RELATED QUESTIONS
If 60% people in city like cricket, 30% like football, and the remaining like other games, then what percentage of the people like other games? If the total number of people is 50 lakh, find the exact number who like each type of game.
A cistern of milk caitains a mixture of milk and water in the ratio of 11 :4. If the cistern contains 60 litres of milk, how much more water must be added to make the
ratio of milk to water as 11:6 ?
Find: The duplicate ratio of 7: 9
Which of the following numbers are in continued proportion:
3, 6 and 15
Write the following ratio in the simplest form:
48 min : 2 hours 40 min
40 men can finish a piece of work in 26 days. How many men will be needed to finish it in 16 days?
If `x/(b + c - a) = y/(c + a - b) = z/(a + b - c)` prove that each ratio’s equal to `(x + y + z)/(a + b + c)`.
Find the simplified form of the following ratio.
75 : 100
Neelam’s annual income is Rs. 288000. Her annual savings amount to Rs. 36000. The ratio of her savings to her expenditure is ______.
There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.
