Question

construct a word problem on simultaneous linear equation in two variables so that the value of one variable will be 10

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 Neeru 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 Neeru, the sum is 82. Find the ages of Neeru and her father. 

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

and Neeru's age is y years

according to the question

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

So,

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

So,

Neeru's age is 10 years and her father age is 36 years.

Hope it helps you.