Mathematics
Grade-8
Easy
Question
The sum of two numbers is 14, and their difference is 2. Find the number.
- 2, 4
- 8, 6
- 6, 8
- 1, 2
Hint:
x +y =14
x -y =2
add the equations
The correct answer is: 8, 6
Let the two numbers be x and y.
x + y = 14 ………. (i)
x - y = 2 ………. (ii)
Adding equation (i) and (ii),
We get:
➠ 2x = 16
➠ 2x/2 = 16/2
➠ x = 16/2
➠ x = 8
Substituting the value x in equation (i), We get:
➠ 8 + y = 14
➠ 8 – 8 + y = 14 - 8
➠ y = 14 - 8
➠ y = 6
Therefore:
➠ x = 8 and y = 6
Hence, the two numbers are 8 and 6.
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