Question

. The ratio of the ages of Ram and Gopal is
3 :4. The difference between their ages after two years will be 10. How old are they?​

Answer 1

Answer:

this is solution hope you understand

Answer 2

AnswEr

Given Ratio of the ages of Ram and Gopal is 3 : 4.

Let's Consider that Age of the Ram be 3x

And, Age of the Gopal be 4x.

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⠀⠀ $\underline{\boldsymbol{According\: to \:the\: Question :}}$⠀

The difference between their ages after two years will be 10.

• Age of Ram = (3x + 2)
• Age of Gopal = (4x + 2)

$:\implies\sf (4x + 2) - (3x + 2) = 10 \\\\\\:\implies\sf 4x - 3x + \cancel{2} - \cancel{ 2} = 10 \\\\\\:\implies\boxed{\frak{\purple{x = 10}}}$

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Substituting the Value of x in the ages of Ram & Gopal :

$\bigstar$ Ram's Age :

$:\implies\sf3(10)\\\\\\:\implies\boxed{\frak{\pink{30}}}$

$\bigstar$ Gopal's Age :

$:\implies\sf 4(10)\\\\\\:\implies\boxed{\frak{\pink{40}}}$

$\therefore$ Age of Ram is 30 years & Age of Gopal is 40 years.