Practicing Success
The ratio of the age of X and Y is 6 : 5. Four years ago, that ratio was 5 : 4. Find the ratio of the age of X and Y after 16 years. |
3 : 2 8 : 7 9 : 8 10 : 9 |
10 : 9 |
X : Y 5 : 4 ( 4 years ago ) ↓ 6 : 5 ( present ) \(\frac{X}{Y}\) =\(\frac{5}{4}\) let age of X = 5x and age of Y = 4x Now , according to question \(\frac{5x+4}{4x+4}\) = \(\frac{6}{5}\) 25x + 20 = 24x + 24 x = 4 so, X's Present age = 5 x 4 +4 = 24 Y's Present age= 4 x 4 + 4 = 20 After 16 years, age of X =16 + 24 = 40 age of Y =16 + 20 = 36 Ratio = 40 : 36 = 10 : 9 |