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

Solution:As we have to construct a word problem such that it form simultaneous linear equation,it can be like that

Problem: If twice the age of Aditi is added to age of her father, the sum is 56. But if twice the age of the father is added to the age of Aditi, the sum is 82. Find the ages of Aditi and her father. 

Solution: Let the age of Aditi's father is x years

and Aditi's age is y years

according to the question

$2y + x = 56 \: \: \: eq1 \\ \\ 2x + y = 82 \: \: \: eq2\\ \\ x = 56 - 2y \: \: \: in \: eq \: 2 \\ \\ 2(56 - 2y) = 82 \\ \\ - 4y + y = 82 - 112 \\ \\ 3y = 30 \\ \\ y = 10$
So,

$2(10) + x = 56 \\ \\ x = 56 - 20 \\ \\ x = 36$
So,

Aditi's age is 10 years and Aditi's father age is 36 years

Hope it helps you.

Answer 2

Answer:

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