Question

Deepak tells his daughter Leena, “ Seven years ago, I was seven times as old as you were then”. If present ages of Deepak and Leena are x yrs and y yrs respectively then i) Write the linear equation to represent this information.ii) Write its two solutions.​

Answer 1

Answer:

x - 7y = -42

x = 14, y = 8

Step-by-step explanation:

Let x and y be the present age of Deepak and Leena respectively.

7 years ago, their ages were (x-7) and (y-7) respectively.

$(x - 7) = 7(y - 7)$

$x - 7y = - 42$

(Assume highest coefficient value is zero)

if y=0, x = -42 not a possible solution for our problem

Similarly check for y = 1,2, 3..... n until get our possible solution....

At y = 8

x = 14

(we can also get one or more possible solution)

(Integral solution,

eqn in the form ax - by = c... in this type x value increases with increase in y value

if ax+ b =c .... in this type x value increase with decrease in y value.)