Question

construct a word problem on simultaneous linear equations in two variables so that the value of one of the variable is 10(persons,rupees ,metres,years,etc.) and solve it​

Answer 1

Problem:

If twice the age of son is added to the age of the father, the sum is 56; But if twice the age of the father is added to the age of the son, the sum is 82. Find the ages of father and son, respectively.

Answer:

Let the age of son be x and age of father be y.

Given 2x + y = 56

x + 2y = 82

On solving (1) and (2), we get

2x + y - 2x - 4y = 56 - 164

-3y = -108

y = 36.

Substitute y in any above equations, we get

2x + 36 = 56

2x = 20

x = 10

The age of the father is 36 and the age of son is 10 years.

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Answer 2

:

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Example:The sum of present ages of Madhu and Raju is 11years.Madhu is elder than Raju by 9 years.Find their present ages.

Solution:Let the present age of Madhu be x years and the age of Raju be y years.

∴x+y=11    .....(1)

x−y=9          .......(2)

Adding (1) and (2) we get

2x=20

∴x=10

And x+y=11

∴10+y=11

∴y=11−10=1

∴ Present age of Madhu is 10years and of Raju is 1 year.