The ratio of the present age of A and B is 3 : 1.
The ratio of the present age of A and B is 3 : 1. Five years ago, the ratio of their ages was 5 : 1. The age of A (in years) after eight years will be:
A और B की वर्तमान आयु का अनुपात 3 : 1 है। पांच वर्ष पहले, उनकी आयु का अनुपात 5 : 1 था। आठ वर्ष बाद A की आयु (वर्ष में) कितनी होगी?
A और B की वर्तमान आयु का अनुपात 3 : 1 है। पांच वर्ष पहले, उनकी आयु का अनुपात 5 : 1 था। आठ वर्ष बाद A की आयु (वर्ष में) कितनी होगी?
Detailed Solution & Logic
Correct Answer:
38
Given ratio of present ages:
$A : B = 3 : 1$
So let
$A = 3x,; B = x$
Five years ago:
$\dfrac{3x - 5}{x - 5} = \dfrac{5}{1}$
Cross-multiply:
$3x - 5 = 5(x - 5)$
$3x - 5 = 5x - 25$
$20 = 2x$
$x = 10$
So,$A = 3x = 30$
Age of A after 8 years:
$30 + 8 = 38$
Similar Practice Questions
The heights of two cones are in the ratio 4 : 3 and the radii of their bases are in the ratio 1 : 2. Find the ratio of their volumes.
The heights of two cones are in the ratio 4 : 3 and the radii...
How much water should be added to 60 liters of milk costing \(1\frac{1}{2}\) per liter at ₹ 20 to get a mixture costing ₹\(10\frac{2}{3}\) per liter?
How much water should be added to 60 liters of milk costing \(1\frac{1}{2}\) per liter...
The ratio of areas of two regular polygons with same number of sides is 4 : 9. What is the ratio of their side lengths?
The ratio of areas of two regular polygons with same number of sides is 4...
Three partners invested in a business in the ratio of 6 : 1 : 5. They invested their capital for 7 months, 10 months and 8 months respectively. Find the ratio of their profits.
Three partners invested in a business in the ratio of 6 : 1 : 5....
Divide ₹4,800 among Ram, Shyam and Kartik in the ratio of 4 : 8 : 3.
Divide ₹4,800 among Ram, Shyam and Kartik in the ratio of 4 : 8 :...
The monthly incomes of two friends Mohan and David, are in the ratio 5 : 8, respectively, and each of them saves ₹75,000 every month.
The monthly incomes of two friends Mohan and David, are in the ratio 5 :...
The third proportional to $ x $ and $ x + 100 $ is 405, find the value of ( where$ x $ >100)
The third proportional to $ x $ and $ x + 100 $ is 405,...