Question

The Present age of ram and rahim are in ratio 4:3 four years later their ages will be in the ratio 6:5 what are their present age.

Answer 1

Answer:

Ram's age is 12 years and Rahim's age is 10 years

Step-by-step explanation:

let be the present ages of both be 6x and 5 x

after four years ,

the ram's age = 4x +4

the rahim's age = 6x +4

(sol)=4x+4/6x+4=6/5

      = (cross muliple)

       =18x+24=20x+20

        = 18x-20x = 20-24

       =+2x=+4

        = X=4/2

         = x = 2

the present age will be ,

Rams age =6x= 6*2 = 12 years

rahims age= 5x = 5*2 = 10 years

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

Present age of Ram = 8 years

Present age of Ram = 8 yearsPresent age of Rahim = 6 years

$\mathfrak{\large{\underline{\underline{Explanation:-}}}}$

Ratio of present age of Ram and Rahim = 4 : 3

Consider the present age of Ram as 4x

Consider the present age of Rahim as 3x

4 years later :

Ram's age = 4x + 4

Rahim's age = 3x + 4

Ratio of ages of Ram and Rahim after 4 years = 6 : 5

According to the question :-

Equation Formed :

$\boxed{\tt{\implies{\frac{4x+4}{3x + 4} = \frac{6}{5} }}}$

By cross multiplication :-

$\tt{\implies{(4x + 4)5 = 6(3x + 4) }}$

$\tt{\implies{20x + 20= 18x + 24}}$

$\tt{\implies{20x-18x= 24 - 20}}$

$\tt{\implies{2x=4}}$

$\tt{\implies{x=\frac{4}{2} }}$

$\tt{\implies{x=2}}$

________________________________

Present age of Ram = 4x = 4(2) = 8 years

Present age of Rahim = 3x = 3(2) = 6 years