Question

Anil is 10 years older than Sunil after 5 years anils age would be double that of Sunil what are their ages now​

Answer 1

S O L U T I O N :

Given :

Anil is 10 years older than Sunil, after 5 years Anil age would be double that of Sunil.

Explanation :

Let the Sunil age be x years & let the Anil age be x + 10 years respectively.

According to the question:

5 years later :

The age of Sunil will = (x + 5) years .

The age of Anil will = (x + 10 + 5) years .

Now,

➞ (Anil's age) = 2(Sunil's age)

➞ (x + 10 + 5) = 2(x + 5)

➞ (x + 15) = 2x + 10

➞ x + 15 = 2x + 10

➞ x - 2x = 10 - 15

➞ -x = -5

➞ x = 5 years .

Thus,

The Sunil age will be 5 years .

The Anil age will be (x + 10) = (5 + 10) years = 15 years .

Answer 2

Answer:

Given :-

• Anil is 10 years older than Sunil. After 5 years Anil age would be double that of Sunil.

To Find :-

• What are their ages.

Solution :-

» Let, the age of Sunil be x

» And, the age of Anil be x + 10

➛ After 5 years,

» Age of Sunil will be x + 5

» And, the age of Anil be x + 10 + 5

According to the question,

⇒ x + 10 + 5 = 2(x + 5)

⇒ x + 10 + 5 = 2x + 10

⇒ x + 15 = 2x + 10

⇒ x - 2x = 10 - 15

⇒ - x = - 5

➠ x = 5

Hence, their required ages will be,

✦ Age of Sunil = x = 5 years

✦ Age of Anil = x + 10 = 5 + 10 = 15 years

∴ The age of Sunil is 5 years and the age of Anil is 15 years .

Let's Verify :-

↦ x + 10 + 5 = 2(x + 5)

Put x = 5

↦ 5 + 10 + 5 = 2(5 + 5)

↦ 20 = 10 + 10

↦ 20 = 20

➥ LHS = RHS

Hence, Verified ✔