Two numbers whose sum is 67 and difference is 3, the numbers are?
- 34 and 56
- 6 and 15
- 33 and 34
- 32 and 35
Explanation
x + y = 67 ... (equation 1)
x - y = 3 ... (equation 2)
where x and y are the two numbers.
We can solve this system of equations by adding equation 1 and equation 2, which eliminates y:
2x = 70
Dividing both sides by 2 gives:
x = 35
Now that we have x, we can substitute it into equation 1 to find y:
35 + y = 67
Subtracting 35 from both sides gives:
y = 32
So, the two numbers are 35 and 32.
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