# Maharashtra Class 10 Answered

**Construct a word problem on simultaneous linear equations in two variables so that the value of one variable will be 18**

Asked by anishkalbhor2020 | 09 Dec, 2019, 04:57: PM

Expert Answer

The sum of two numbers is 38 and the difference between them is 2. Find the numbers.

Solution :

Let the numbers be x and y.

The sum of two numbers is 38.

Hence, x + y = 38 ...(i)

The difference between them is 2.

x - y = 2 ...(ii)

Adding (i) and (ii) we get 2x = 36

x = 18

and 18 + y = 38

y = 20

Hence, the numbers are 18 and 20.

Answered by Sneha shidid | 10 Dec, 2019, 09:25: AM

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