Let us express the following statements into simultaneous linear equations and solve them graphically.
Sum of two numbers is 15 and difference is 3. Let us write the numbers by solving graphically.

Question

Let us express the following statements into simultaneous linear equations and solve them graphically.
At present Rajat’s maternal uncle is 16 years older than Rajat. 8 years later, his maternal uncle’s age will be 2 times of his age. Let us calculate the present age of Rajat and that of his maternal uncle graphically.

Philoid · Accepted Answer

Let Rajat’s present age is x Years and His uncle’s present age is y years.

Given At present Uncle is 16 years older than Rajat.

y = x + 16

⇒ y - x = 16 …………(1)

Putting different values of x, we get different values of ‘y’, hence we get points for plotting as:

Given 8 Years later His uncle will be 2 times of his age.

(y + 8) = 2(x + 8)

y + 8 = 2x + 16

⇒ y - 2x = 8 ……...(2)

Putting different values of x, we get different values of ‘y’, hence we get points for plotting as:

Rajat’s Present age is 8 and his uncle’s age is 24.