You can
put this solution on YOUR website! One number exceeds another by 5. The sum of their reciprocals equal to 19
divided by the product of the two numbers. Find the two numbers.
:
(a) How will you set up the problem?
(b) What is the equation that the one number exceeds another by 5?
(c) What is the product of two numbers, in terms of x?
(d) What is x? Also check your answer.
:
I'll do the problem and let you answer the questions from that:
Let x = "one number"
Let y = "another number
:
Write an equation for the statement,"One number exceeds another by 5."
x = y + 5
or
y = (x-5)
:
Write an equation for:
"The sum of their reciprocals equal to 19 divided by the product of the two numbers."
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In terms of x; replace y with (x-5)
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solve for x: multiply equation by x(x-5) to get rid of the denominators, results:
1(x-5) + 1x = 19
x -5 + x = 19
2x = 19 + 5
x =
x = 12
:
y = 12 - 5 = 7
:
Check solution in original equation
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