Question

the present ages of Ram and Rahim are in the ratio 4:3 4 years later there will be in the ratio 6:5 what are their present ages

Answer 1

Answer:

8 ram

6 rahim

Step-by-step explanation:

4x+4  / 3x+4  = 6/5

(cross multiply)

20x  + 20 = 18x + 24

2x = 4

x=2

PUT x=2 in values

4*2 = 8 (age of Ram)

3*2 = 6 (age of Rahim)

Answer 2

Answer:

Ram's Age = 8 years

Rahim's Age = 6 years

Step-by-step explanation:

Since the ratio of present ages of Ram and Rahim is given as 4:3, let the Present age of Ram be (4x) years and Rahim's be (3x)

After 4 years :

Ram's Age = (4x+4) years

Rahim's Age = (3x+4) years

$\textbf{\underline{\underline{According\:To\:Question:}}}$

$\sf(4x + 4) \ratio(3x + 4) = 6 \ratio5$

$\implies \sf \dfrac{4x + 4}{3x + 4} = \dfrac{6}{5}$

By Cross Multiplication we get,

$\sf5(4x +4) = 6(3x + 4)$

$\sf20x + 20 = 18x + 24$

$\sf \: 20x - 18x= 24 - 20$

$\sf2 x = 4$

$\sf \: x = \huge \: \boxed 2$

$\therefore$ Present Age of Ram = (4×2) = 8 years

$\therefore$ Present Age of Rahim = (3×2)= 6 years

Verification :

$\sf \: \dfrac{Present \: Age \: of \: Ram }{Present \:Age \: of \: Rahim} = \dfrac{8}{6} = \dfrac{4}{3}$

$\dfrac{4}{3} = 4</u><u>:</u><u>3$

Which Is same as Given,

Hence, Solution Is correct.