if the sum of two numbers is 42 and their product is 437, then absolute difference between the numbers is
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4 is the absolute difference between the two numbers
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Answer:
Step-by-step explanation:
According to the question,
let the Two numbers are A and B
sum of two numbers i.e.,
=> A+B = 42 ----------------------------------- (1)
product of Two numbersis
=>A x B = 437
=>A = 437/B.
Substitute A value in equation (1)
=>437/B + B = 42
=>437/B = 42-B
=>437 = (42 - B)B
=>437 = 42B - B²
=>B²- 42B + 437 = 0
by solving the equation,
we get,
=>B = 19
substitute B value in equation (1)
=>A + B = 42
=>A + 19 = 42
=>A = 42-19
=>A = 23
THE ABSOLUTE DIFFERENCE OF TWO NUMBERS IS
=>A - B = 23 - 19
=>A - B = 4
Therefore A-B=4
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