Question

the ratio of present age of Amar and akber is 6:7.5 years ago sum their 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 = $\dfrac{85}{13}$

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

$\huge \bold {\mathfrak {hey}}$

$\textbf {Answer}$

Ratio of ages of Amar and Akbar is
$\boxed { 6 : 5}$

➡️ Let the age of Amar = 6x
➡️ Let the age of Akbar = 7x

✔️ After 5 years

Age of Amar = 5x - 6x
Age of Akbar = 5x - 7x

✔️ Sum of their ages after 5 years = 75

$\huge \bold {ATQ}$

6x - 5 + 7x - 5 = 75
6x + 7x - 5 - 5 = 75
13x - 10 = 75
13x = 85
x = 85 / 13

Therefore,
The age of Amar = 6x = 6 ( 85 / 13)
➡️ 510 / 13 year

The age of Akbar = 7x = 7 ( 85 / 13)
➡️ 595 / 13

Now,

The present age of Amar
➡️ 510 / 13 years ✔️

The present age of Akbar
➡️ 595 / 13 years ✔️

++++++++++++++++++++++++++++++++

HOPE IT WILL HELP YOU

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

BE BRAINLY
~~~~~~~~~~~