Question
The age of 'P' five years from now will be the same as
the age of 'Q' four years ago. Six years ago, the sum of the ages of 'P' and 'Q' was 27 years. Additionally, 'R' is three years older than 'P'. Based on this information, calculate the age of 'R' four years from now.Solution
Let the present age of 'P' and 'Q' be 'a' years and 'b' years respectively. So, a + 5 = b - 4 Or, b - a = 9 -------- (I) And, a - 6 + b - 6 = 27 Or, a + b = 39 ------- (II) On adding equation I and II, We get, b - a + a + b = 9 + 39 Or, 2b = 48 Or, 'b' = 24 On putting value of 'b' in equation I, We get, 24 - a = 9 Or, 'a' = 15 So, present age of 'R' = 15 + 3 = 18 years Therefore, age of 'R' 4 years hence from now = 18 + 4 = 22 yearsÂ
'A' alone can do some work in 24 days, 'B' alone can do the same work in 48 days. If they work on alternate days, starting with 'B', then the work will ...
How can we determine the value of x, given that (x+8) workers, working 9 hours a day, can finish 60% of a task in 12 days, and (x+2) workers, working 3 ...
- 25 employees working 9 hours a day take 20 days to complete a project. How many employees working for 8 hours a day are needed to complete twice the given ...
A set of Q men can complete a work in 20 days, while (Q+4) women can complete the same work in 28 days. If 9 men and 13 women together can finish the sa...
x men can finish a work in y days. 0.9x women can finish 1/3rd of the same work in (y - 8) days. If 0.8x women can complete 1/3rd work in 36 days. Find ...
- Aman can finish a task in 9 days while Rohan can finish it in 18 days. They together earn Rs. 27,000 for the task. What is Rohan’s share?
In a retreat, there is sufficient food for 300 people for the duration of the retreat. After 8 days, 100 people leave the retreat. Then, after another 3...
P can do a piece of work in 20 days, Q can complete double the work in 40 days and R can do the work in 30 days. If all of them together earn Rs. 3200, ...
‘A’ alone can complete a work in 50 hours. ‘A’ started the work alone and left after working on it for 10 hours. If ‘B’ completed the rest o...
'C' can complete a work in 18 days whereas 'D' can do the same work in 30 days.They started working together but 'C' worked with 60% of his efficiency w...
Relevant for Exams:
