Question

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

Answer 1

Answer:

Step-by-step explanation:

The sum of present ages of Timothy and Sarah is 40 years ,Timothy is elder than Sarah by 20 years. Find their present ages

Let the Timothy's present age be x

Let the Sarah's present age be y

According to the first condition

x + y = 40 .......... (1)

According to the second condition

x - y = 20 ........... (2)

Adding equation 2 from 1

x + y = 40

+ x - y = 20

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2x = 60

x = 60/2

x = 30

Substitute x = 30 in equation 1

x + y = 40

30 + y = 40

y = 40 - 30

y = 10

Ans: Timothy's present age is 30 years and Sarah's present age 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.