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Solutions
Given that the ratio of the ages of A and B, 10 years ago, was 4:5.
Case-1: 10 years ago
Let age of A = 4x
age of B = 5x
Case-2: 5 years ago
age of A = 4x+5
age of B = 5x+5
According to question
⇒ 
⇒ 
⇒ x = 10
Case-3: 10 years from now
age of A = 4x+20 = 
age of B = 5x+20 = 
Ratio of their ages 10 years from now = 60:70 =6:7