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Two numbers differ by 4. The product of the two numbers is 221. What are the numbers?

User DanielVest
by
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2 Answers

5 votes

Answer:

17 and 13

Explanation:

User Xenoid
by
4.2k points
2 votes

Answer:

Explanation:

Represent this with two linear equations:

x+4 = y

x * y = 221

substitute for y:

y= 221/x

Plug this back into first equation:

221/x = x +4

x^2 + 4x = 221

x^2 + 4x -221 = 0

Solve this with a quadratic:

x = -17, x = 13

take the values of 17 and 13, which satisfy the given conditions

User Charles Jr
by
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