Question

Amit is twice as old as his brother Anand, if the difference of their ages be 19 years, find their present ages.​​

Answer 1

Given:

• Amit is twice as old as his brother Anand.
• The difference of their ages be 19 years.

To find:

• Their present ages?

Solution: Let's consider that Anand's present age be x years.

⠀

★ Let's Head to the Question Now:

⠀

Case I)

• Amit is twice as old as his brother Anand. Then, Amit's present age is 2x years.

Case II)

• If the difference between the age of Amit and the age of Anand is 19 years.

⠀

Now,

⠀

$:\implies\sf 2x - x = 19 \\\\\\:\implies{\underline{\boxed{\frak{\pink{ x = 19}}}}}\;\bigstar$

⠀

Hence,

⠀

• Present age of Anand is 19 years.

• And, present age of Amit is 2(19) = 38 years.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

Answer 2

Given : Amit is twice as old as his brother Anand and the difference between their ages is 19 years.

To Find : Their present ages.

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀____________________

Let the present age of Anand be x

As Amit is twice as old as him, then Amit's age will be 2x

$\: \:$

It is also given, that difference between their ages is 19 years.

$\:$

$\underline{\bold{According \: to \:the \: question : \: }}$

$\: \:$

$\sf:\implies \: 2x - x = 19 \\ \\ \\ \sf:\implies \: \underline{\boxed{\mathfrak\purple{x = 19}}} \: \bigstar$

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀____________________

Now,

$\:$

• Present age of Anand = x = 19 years
• Present age of Amit = 2x = 38 years

$\: \:$

$\sf\therefore{\underline{Hence, \: the \: present \: ages \: of \: Anand \: and \: Amit \: are \: \bold{19\: years} \: and \: \bold{38 \: years} \: respectively. }}$