Question

6.Sunil is older than Anil by 5 years. The sum of their ages is 55 years. Sunil's present age is ______ years.. Single choice.
(1 Point)​

Answer 1

Answer :-

• Sunil's present age is 30 years.

Given :-

• Sunil is older than Anil by 5 years.
• The sum of their ages is 55 years.

To find :-

• Sunil's present age.

Step-by-step explanation :-

Let Anil's present age be x.

Since Sunil is older than Anil by 5 years,

Therefore his present age will be x + 5 years.

Now, the sum of their ages is 55 years.

That means, both of their ages are equal to 55 years.

So, we get :-

$\sf x + (x + 5) = 55$

Removing the brackets,

$\sf x + x + 5 = 55$

Adding x to x,

$\sf2x + 5 = 55$

Transposing 5 from LHS to RHS, changing it's sign,

$\sf2x = 55 - 5$

On simplifying,

$\sf2x = 50$

Transposing 2 from LHS to RHS, changing it's sign,

$\sf x = \dfrac{50}{2}$

Dividing 50 by 2,

$\sf x = 25.$

Since x was taken as Anil's age,

Therefore, Anil's age is 25 years.

Now, Sunil is 5 years older than Anil.

So, Sunil's age is :-

$\sf x + 5 = 25 + 5 = 30.$

Thus, Sunil is 30 years old.

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Verification :-

To check our answer, let's just add both of their ages and see whether we get 55 or not, because as given in the question, the sum of Anil and Sunil's age is 55 years.

30 + 25 = 55.

Since the sum of both their ages is 55 years,

Hence verified!

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