Question

Construct a word problem on simultaneous linear equations in two variables (on age ,rupees ,metres ,speed,etc.),so that the value of one variable will be 18

Answer 1

Step-by-step explanation:

The sum of the present ages of Vira and Dhruv is 26. The difference between their ages is 10. Find their present ages.

Let Vira's present age be x

and Dhruv's present age be y

According to the first condition,

x + y = 26 ----(1)

According to the second condition,

x - y = 10 -----(2)

Adding eqn (1) and (2), we get

x + y = 26

x - y = 10

x = 8

Substitute x = 8 in eqn (1)

x + y = 26

8 + y = 26

y = 26 - 8

y = 18

Therefore, Vira's present age is 8 years

And Dhruv's present age is 18 years.

Hence the value of one variable is 18.

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Answer 2

Answer:

Step-by-step explanation:

x=18 and y=8

of the above example

x+y=26. --------1

x-y=10. -------2

adding equation 1&2,

x+y=26

+. x-y=10

-----------

2x=36

x=18

substitute X=18 in equation 1

x+y=26

18+y=26

y=26-18

y=8

x=18 and y=8