Question

The difference between present ages of Ram and Gaurav is 10 years. After 5 years, Ram's
is twice of Gaurav's age. The present age (in years) of Ram is


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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Correct Question:-

The difference between present ages of Ram and Gaurav is 10 years. After 5 years, Ram's age will be twice of Gaurav's age. The present age (in years) of Ram is

Given:-

• Difference between ages of Ram and Gaurav = 10 years.
• After 5 years age of Ram will be twice of Gaurav's age.

To Find:-

Age of Ram.

Assumption:-

Let the age of Ram be x and age of Gaurav be y

Solution:-

As per the question,

Difference between the ages of Ram and Gaurav is 10

Hence,

$\sf{x-y = 10}$

$\sf{\implies x = 10+y\longrightarrow[i]}$

Now,

After 5 years,

Age of Ram = x + 5

Age of Gaurav = y + 5

ATQ,

$\sf{x+5 = 2(y + 5)}$

= $\sf{x + 5 = 2y + 10}$

= $\sf{x-2y = 10-5}$

= $\sf{x - 2y = 5\longrightarrow[ii]}$

Substituting the value of x from eq.[i] into eq.[ii]

= $\sf{x-2y = 5}$

= $\sf{(10+y) - 2y = 5}$

= $\sf{10+y - 2y = 10}$

= $\sf{-y = 5-10}$

= $\sf{-y = -5}$

=> $\sf{y = 5}$

Putting the value of y in eq.[i]

= $\sf{x = y+10}$

= $\sf{x = 5+10}$

= $\sf{x = 15}$

Therefore,

Age of Ram = x = 15 years

Age of Gaurav = y = 5 years.

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Verification:-

The diffrence between the age of Ram and Gaurav must be 10

Hence,

Age of Ram - Age of Gaurav = 10

= $\sf{15-5 = 10}$

= $\sf{10=10}$

Hence, Verified.

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