Question

the present age of A and B are in the ratio 5:6. three years ago, their ages were in the ratio 4:5. find their present ages​

Answer 1

Answer:

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$Ratio of the present ages of A and B=5:6 \\ </p><p>Let age of A=5x \\ </p><p>and age of B =6x \\ </p><p>3 years hence, \\ </p><p>Age of A was =5x−3 \\ </p><p>and age of B was =6x−3 \\ </p><p>6x−35x−3=54</p><p> \\ ⇒25x−15=24x−12</p><p> \\ ⇒25x−24x=−12+15</p><p> \\ ⇒x=3</p><p> \\ Present ages of \\ A =5x=5×3=15 years</p><p> \\ and age of \\ B=6x=6×3=18 years</p><p></p><p>$