Question

Question 8
Anuj is now 7 years older than Pramod. If the sum of their ages is 33 years, find their present
ages.
Answer
Anuj's age = 20 years
Pramod's age = 13 years​

Answer 1

Answer:-

Anuj's age = 20 years

Parmod's age = 13 years

Solution:-

Let the age of parmod be x years and age of Anuj be y years.

Then,

Sum of their age = 33 years

$x + y = 33 ------eq. 1$

Anuj is 7 years older than pramod.

$y = x + 7----eq.2$

Put the value of y in equation first,

Put the value of y in equation first, We get,

→$x + y = 33$

→$x + x + 7 = 33$

→$2x +7 = 33$

→$2x = 33 - 7$

→$2x = 26$

→$x = \dfrac{26}{2}$

→$x = 13 years$

Put the value of x in eq. 2

→y = x + 7

→y = 13 + 7

→y = 20 years

hence,

The present age of Anuj is 13 years and parmod is 20 years.

Answer 2

Answer:

Present age of Promod = 20 years

Present age of Anuj = 13 years

Step-by-step explanation:

given that,

Anuj is now 7 years older than Pramod.

let the age of pramod be x

and hence age of Anuj be y

now,

According to the question,

x = y + 7 .....(1)

also,

given that,

the sum of their ages is 33

so,

x + y = 33. ....(2)

from (1)

we have,

x = y + 7

putting the value of x From (1)

on (2)

x + y = 33

y + 7 + y = 33

2y = 33 - 7

2y = 26

y = 26/2

y = 13

now,

putting the value of y on (1)

x = y + 7

x = 13 + 7

x = 20

y = 13

so,

age of promod = x

= 20 years

age of Anuj = y

= 13 years

_________________

Present age of Promod = 20 years

Present age of Anuj = 13 years