The present ages (in years) of A and B are in the ratio of 3:4. Five years back, the ratio of their ages was 2:3. What is the present age (in years) of A?
15
Let the present ages of A and B be 3x and 4x, respectively. Five years ago, their ages were (3x - 5) and (4x - 5). According to the problem, (3x - 5) / (4x - 5) = 2 / 3. Solving for x gives x = 5, so the present age of A is 15 years.
Similar Questions
If \((x+y):(x-y)=5:2\), find \((x^3+y^3):(x^3-y^3)\)
What should be subtracted from 7, 9, 8, 11 so that the remaining numbers may be proportional?
- A ribbon is cut into three pieces in the ratio 2:3:5. If the length of the longest piece is 20 cm, what is the total length of the ribbon?
- Three numbers are such that the second is 150% of the first, and the third is 80% of the second. What is the ratio of the first to the third?
The monthly incomes of A, B and C are in the ratio 2:9:3 and their expenses are in the ratio 3:9:5. If A’s saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of:
If 20% of (P + Q) = 50% of (P – Q), then find the ratio P : Q.
If \(A:B = 2:3\) and \(B:C = 4:5\), find \(A:C\).
Rs. 640 shared among 8 people. 2 back out. What's new share per person?
Two numbers are in the ratio 5:7. If 9 is added to each, the new ratio becomes 8:11. What are the original numbers?
A:B = 3:4, B:C = 6:7, C:D = 14:15. What is the ratio A:D?
Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
