Question

chaudhary say to mrs pandey,i am thrice as old as you were . when i was as old as you are . if the sum of their present ages is 35 years. find their present age.​

1. quangkhai
The present age of Chaudhary is 21 years and Mrs Pandey is 14 years.

### How to write Linear Equation in two variable?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
For example, x + 4y = 13 and -21x + 5y = 2 are linear equations in two variables.
Let the present age of Chaudhary is ‘X’ years and Mrs Pandey is ‘Y’ years.
So, according to the question:
sum of their present age is 35 years.
X + Y = 35                ———– ( i )
also, Chaudhary age was thrice when Chaudhary were old as the Mrs Pandey.
Now,
X = 3 ( Y – (X – Y) )
X = 3 ( Y – X + Y )
X = 3 ( 2Y – X )
X = 6Y – 3X
4X = 6Y
2X = 3Y
X = 3Y / 2               ————- ( ii )
Put value of X from equation ( ii ) in equation ( i ):
3Y/ 2 + Y = 35
5Y = 70
Y = 14 years
Put value of Y in equation ( ii )
X = ( 3 x 14 ) / 2
X = 21 years
Hence, The present age of Chaudhary is 21 years and Mrs Pandey is 14 years.