Verified answer

Answer:

Consider Aftab's age as x and his daughter's age as y.

Then , seven years ago,

Aftab's age =x−7

His daughter's age =y−7

According to the question,

x−7=7(y−7)

x−7=7y−49

x−7y=−49+7

x−7y=−42 …(i)

After three years,

Aftab's age =x+3

His daughter's age =y+3

According to the question,

x+3=3(y+3)

x+3=3y+9

x−3y=9−3

x−3y=6 …(ii)

Representing equation (i) and (ii) geometrically, we plot these equations by finding points on the lines representing these two equations

x−7y=−42⟹x=7y−42

x=7y−42 42 35 49

y 12 11 13

x−3y=6⟹x=3y+6

x=3y+6 42 36 48

y 12 10 14

From the graph we can see that two lines will intersect at a point.

x−7y=−42

x−3y=6

On subtracting the two equations, we get

4y=48

or y=12

Substituting value of y in (2),

x−36=6

∴x=42

Answer:

Consider Aftab's age as x and his daughter's age as y

Aftab's ge = x - 7

Then, seven years ago, His daughter's age =y-7

According to the question,

x - 7 = 7(y - 7) x - 7 = 7y - 49

x - 7y = - 49 + 7 x - 7y = - 42

After three years,

Aftab's age =x+3 His daughter's age =y+3

According to the question.

x + 3 = 3(y + 3)

x + 3 = 3y + 9

x - 3y = 9 - 3

x - 3y = 6

Representing equation (i) and (ii) geometrically, we plot these equations by finding points on the lines representing these two equations

x-7y=-42-x-7y-42 x-7y-42 42 35 49

y 12 1113

x-3y-6-x-3y+6

x=3y+6 42 3648 y 12 10 14

From the graph we can see that two lines will intersect at a point

x - 7y = - 42

x - 3y = 6

On subtracting the two equations, we get

4y = 48

ory = 12

hope this helps ❤️