Question

the sum of the ages of a and b is 78 years.3 years ago,the ratio of their ages was 4:5.find the ratio of their ages 5 years hence​

Answer 1

Answer:

So, the ratio of the ages of a and b after 5 yrs will be 5:6

Step-by-step explanation:

Let the ages of a and b 3 yrs ago be 4x and 5x respectively

Now, the current ages are(4x+3) and (5x+3) respectively

By the question,

(4x+3)+(5x+3)=78

or, 9x+6=78

or, 9x=72

or, x=8

So, the current age of a=4x+3

=35

And the current age of b=5x+3

=43

So the ratio of their ages after 5 yrs= 40:48

=5:6