If the sum of two numbers is 30 and their difference is 8, what is their product?
- 201
- 208
- 202
- 209
Explanation
x + y = 30 ... (Equation 1)
x - y = 8 ... (Equation 2)
We can solve these equations by adding them together, which eliminates y:
2x = 38
Dividing both sides by 2 gives us:
x = 19
Now that we have x, we can find y by substituting x into Equation 1:
19 + y = 30
Subtracting 19 from both sides gives us:
y = 11
Now that we have both x and y, we can find their product:
Product = x * y
= 19 * 11
= 209
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