Question

If your age is 13 years and your friend is 15 years old, then write a word problem to form two linear
equations. Frame two linear equations and verify equations with your given age by solving equations.

Answer 1

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Step-by-step explanation:

Answer 2

SOLUTION

TO DETERMINE

• If your age is 13 years and your friend is 15 years old, then write a word problem to form two linear equations.

• Frame two linear equations and verify equations with your given age by solving equations.

EVALUATION

Word problem :

My friend is older than me. The sum of my age and friend age is 28 years and difference is 2 years. Find the ages

Frame of linear equations :

Let friend's age is x years and my age is y years

Now by the given x > y

From the first condition :

x + y = 28 - - - - - (1)

From the second condition :

x - y = 2 - - - - - - (2)

So the required two linear equations are

x + y = 28 - - - - - (1)

x - y = 2 - - - - - - (2)

Solve :

Here the given system of equations are

x + y = 28 - - - - - (1)

x - y = 2 - - - - - - (2)

Adding we get 2x = 30

⇒ x = 15

From Equation 1 we get

y = 28 - x = 28 - 15 = 13

My friend's age is 15 years and my age is 13 years

VERIFICATION :

We have x = 15 & y = 13

Thus we get

x + y = 15 + 13 = 28 - - - - - (1)

x - y = 15 - 13 = 2 - - - - - - (2)

Hence verified

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