Question

the ratio of present ages of Amar and Akbar is 6:7 5 years ago sum of the ages was 75 find their present age

Answer 1

the ratio of present age of Amar and akber is 6:7


Let,

    Present age of Amar = 6x years

    Present age of Akber = 7x years



5 years ago,

Age of Amar = present age - 5 years

                     = 6x years - 5 years


Age of Akber = present age - 5 years

                      = 7x years - 5 years



According to the question, sum of their ages 5 years ago was 75 years.Therefore, sum of 6x - 5 years and 7x - 5 years is 75  years.


( 6x - 5 ) years + ( 7x - 5 ) years = 75 years

6x - 5 + 7x - 5 = 75

6x + 7x - 5 - 5 = 75

13x - 10 = 75

13x = 75 + 10

13 x = 85

x = 85/13


Therefore,

Present age of amar = 6x years = 6( 85 / 13 ) years = 510 / 13 years


Present age of akber = 7x years = 7( 85 / 13 ) years = 595 / 13 years

Answer 2

Let present ages of Amar and Akber be 6x and 7x.
Now, From 2nd condition,
(5-6x)+(5-7x)=75
10+13x =75
13x=75-10
13x =65
x=5

present age of Amar =6x=6×5=30
present age of Akbar =7x=7×5=35