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When Rupa was born, her father was $25$ years old. Form an equation and draw a graph for this data. From the graph find
(i) the age of the father when Rupa is $25$ years old.
(ii) Rupa’s age when her father is $40$ years old.

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(i)

50

(ii)

15

(i)

25

(ii)

15

(i)

65

(ii)

45

(i)

45

(ii)

76

answer is A.

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Detailed Solution

Given,
Rupa’s father age

= 25

Suppose age of Rupa is

x

and his father age is

y .

Difference of their ages

y - x = 25

y = x + 25

For

x = 0

y = 25

For

x = 20

y = 20 + 25

y = 45

.
Thus, the points are,

A = (0, 25)

B = (20, 45)

Plot this point on graph as,
Question Image

Now the age of Rupa is 25 years. Thus,
X=25.
At the point x=25, the value of y is 50 in the graph.

y = x + 25

y = 25 + 25

y = 50

Thus, his father’s age is 50 years, when Rupa is 25-year-old.
Age of her father is

40

years. Then point can be given as,

D = (x, 40)

Here, we get the value y=40 at x=15

.

Thus, age of Rupa is 15.
Hence the correct option is 1.

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When Rupa was born, her father was 25 years old. Form an equation and draw a graph for this data. From the graph find (i) the age of the father when Rupa is 25 years old.(ii) Rupa’s age when her father is 40 years old.

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When Rupa was born, her father was $25$ years old. Form an equation and draw a graph for this data. From the graph find
(i) the age of the father when Rupa is $25$ years old.
(ii) Rupa’s age when her father is $40$ years old.