Question

Junaid is now three year older than babar. If seven years from now the sum of their ages is 79. How old is babar now? ​

Answer 1

Answer

31 is the present age of Junaid.

Explanation:

Given

• Junaid is now 3 year older than babar.
• After 7 years, sum of their ages will be 79

Need to Find

• The present age of Babar.

First we'll express age of Babar in terms of the age of Junaid. After that, we'll form a linear equation in one variable. After solving the equation,we can find the age of Babar.

Let barber's present age = a

Junaid's present age = a + 3

After seven years,

Barber's age = a + 7

Junaid's age = a + 3 + 7 = (a + 10)

According to the Question:

⟹ a + 7 + ( a + 10 ) = 79

⟹ a + a + 10 + 7 = 79

⟹ 2a + 17 = 79

⟹ 2a = 79 - 17

⟹ 2a = 62

⟹ a = 62/2

⟹ a = 31

31 is the present age of Babar.

Answer 2

Given : Junaid is now three years older than babar. Seven years from now, the sum of their ages will be 79.

To Find : How old is babar ?

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀________________

Let the present ages of Babur and Junaid be k years and k + 3 years respectively.

$\: \:$

After 7 years :

$\: \:$

• Babur's age = k + 7 years
• Junaid's age = k + 3 + 7 = k + 10 years

$\: \:$

It is given that :

$\:$

• Seven years from now, sum of their ages will be 79.

$\:$

According to question -

$\: \:$

$\sf:\implies \: (k + 7) + (k + 10) = 79 \\ \\ \\ \sf:\implies \: k + 7 + k + 10 = 79 \\ \\ \\ \sf:\implies \: k + k + 7 + 10 = 79 \\ \\ \\ \sf:\implies \: 2k + 17 = 79 \\ \\ \\ \sf:\implies \: 2k = 79 - 17 \\ \\ \\ \sf:\implies \: 2k = 62 \\ \\ \\ \sf:\implies \: k = \cancel\frac{62}{2} \\ \\ \\ \sf:\implies \: k = \underline{\boxed{\sf\purple{31}}}\bigstar \\ \\ \\ \\ \sf\therefore{\underline{Hence,\: the \: present \: age \: of \: babar \: is \: \bold{31}years.}}$