Question

find present age..??

Answer 1

Answer :

Present age of Ram = 23 years

Present age of Raju = 8 years


Explanation -

let the present age of Ram = x

let the present age of Raju = y


Given : Sum of their ages = 31

x + y = 31 ------- (1)

According to the given Question -

(x - 3) = 4(y - 3)

x - 3 = 4y - 12

x - 4y = -12 +3

x - 4y = -9 ----------(2)

solving (1) and (2) equations-

x + y = 31

x - 4y = -9
---------------
5y = 40

y = 40/5

y = 8

Substitute the value of 'y' in equation (1) -

x + y = 31

x + 8 = 31

x = 31 - 8

x = 23.


Hence :

Present age of Ram = 23 years

Present age of Raju = 8 years

Answer 2

Answer :

Ram's Age = 23 years

Raja's age = 8 years

Step by step explanation :

Let the present ages of Raja be y and of Ram be x

From first condition,

x + y = 31 .... (1)

3 years ago, Their age was

Raja's age = x - 3

Ram's age = 4(x - 3)

According to the given condition,

x - 3 = 4(y - 3)

x - 3 = 4y - 12

x - 4y = -9... (2)

Subtracting eq.(1) and (2) ,

( x + y = 31 ) - ( x - 4y = -9 )

= 5y = 40

y = 8 years

Now, x + y = 31

x + 8 = 31

x = 23 years

Hence, Raja's age will be 8 years.

Ram's age be 23 years.