Question

the sum of the present ages of Nakul and Vipul is 45 years 3 years hence the age of the Nakul will be twice as old as Vipul represent the statement by 2 linear equation in two variable

Answer 1

Heya !!!


Let the present age of nakul and vipul be X and Y year's.

According to question,


X + Y = 45 --------(1)


After 3 years age of nakul = (X+3) years


After 3 years age of vipul = (Y+3) years


According to question,


X + 3 = 2(Y+3)


X + 3 = 2Y + 6


X - 2Y = 6-3


X - 2Y = 3--------(2)


From equation (1) we get,


X + Y = 45

X = 45-Y ---------(3)


Putting the value of X in equation (2)



X-2Y = 3


45-Y -2Y = 3


-3Y = 3 - 45


-3Y = -42


Y = 42/3 => 14 years

Putting the value of Y in equation (3)


X = 45-Y

X = 45-14 = 31 years.



Age of nakul = X = 31 years.


And,


Age of Vipul = Y = 14 years.



HOPE IT WILL HELP YOU...... :-)

Answer 2

Let,
Nakul's age = x
Vipul's age = y

××××××××××××××××

x + y = 45 [ given]

y = 45 - x ----1equation

=======================

After 3 years,

Nakul's age = (x+ 3) years
Vipul's age = (y + 3) years

According to the question,

x + 3 = 2(y + 3)


Putting the value of y from 1equation

x + 3 = 2(45 - x + 3)

x + 3 = 90 - 2x + 6

x + 2x = 90 + 6 - 3

3x = 93

x = 93/3

x = 31

Putting the value of x in 1equation,

y = 45 - x
y = 45 - 31
y = 14.

Then,

Present age of

Nakul = x = 31
Vipul = y = 14



I hope this will help you

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