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?
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?
A और B की वर्तमान आयु (वर्षों में) का अनुपात 3 : 4 है। पाँच वर्ष पहले उनकी आयु का अनुपात 2 : 3 था। A की वर्तमान आयु (वर्षों में) कितनी है?
Detailed Solution & Logic
Correct Answer:
15
Let the present ages of A and B be $3x$ and $4x$.
Five years ago,
$\frac{3x-5}{4x-5}=\frac{2}{3}$
$9x-15=8x-10$
$x=5$
Present age of A
$=3x=3\times5=15$ years.
Answer: 15 years
Similar Practice Questions
If a, b, c are three numbers such that a : b = 3 : 4 and b : c = 8 : 9, then what is the ratio a : c?
If a, b, c are three numbers such that a : b = 3 :...
The monthly incomes of two friends Gopal and Akshay are in the ratio of 5:7 respectively and each of them saves ₹93000 per month. If the ratio of their monthly expenditure is 2:4, then find the monthly income of Gopal (in ₹).
The monthly incomes of two friends Gopal and Akshay are in the ratio of 5:7...
Find the number that can be subtracted from both terms of the ratio 43 : 91 so that the ratio becomes 3 : 7.
Find the number that can be subtracted from both terms of the ratio 43 :...
If arcs PAQ and RBS of a circle are congruent, then find the ratio of PQ and RS.
If arcs PAQ and RBS of a circle are congruent, then find the ratio of...
The ratio of the length to the breadth of a school playground is 5 : 2. If the breadth is 40 meters, what is the length?
The ratio of the length to the breadth of a school playground is 5 :...
If 602 bananas were distributed among three monkeys in the ratio 1/2 : 1/3: 1/6. How many bananas will the first monkey get?
If 602 bananas were distributed among three monkeys in the ratio $\frac{1}{2} : \frac{1}{3} :...
A container holds 120 litres of a solution containing milk and water in the ratio 3 : 2. If 24 litres of this solution are taken out and replaced with pure milk, what will be the new ratio of milk to water?
A container holds 120 litres of a solution containing milk and water in the ratio...