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miadeexBest ResponseYou've already chosen the best response.0
whats your question ?
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
Since you want to consider 2 consecutive EVEN integers, you conceive of the first one as: 2x and the next one as 2x + 2 The multiplier of 2 guarantees that it will be even: 1/(2x) + 1/(2x + 2) = 9/40
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
1/x + 1/(x + 1) = 9/20 [(x + 1) + x] / [x(x + 1)] = 9/20 40x + 20 = 9x^2 + 9x 9x^2  31x  20 = 0 x = 4 > so 2x = 8 and the next # is 10 1/8 + 1/10 = 9/40
 10 months ago

lala2Best ResponseYou've already chosen the best response.0
im kinda confused as to what ll of this means
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
You're looking for 2 consecutive even numbers such that 1 over the first number plus 1 over the second number = 9/40 Those 2 numbers are 8 and 10 because: 1/8 + 1/10 = 9/40 And the equation is set up with the first number being represented as: 2x and the second # is then 2x + 2 The "2" will guarantee that your eventual numbers are even. So you start with that, go to the equation I set up, and solve for "x". Then you take 2x for the first # and 2x + 2 for the second #.
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
You don't have to find anything. The problem is started and finished. The first number is 8 and the second number is 10.
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
The reciprocal of 8 is 1/8 The reciprocal of 10 is 1/10 1/8 + 1/10 = 9/40 The 2 numbers that answer the question are 8 and 10.
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
I hope that you are finding that this is making sense because the problem is done and the explanation is given in detail. All good now, @lala2 ?
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
Well, the answer is in 2 parts. You need the initial equation and then you need: 8 and 10.
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
Actually, the equation is: 1/(2x) + 1/(2x + 2) = 9/40
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
The problem is asking for an equation than can be used to find the 2 numbers. So, the equation has to have a variable in it.
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
I suggest you go over all the logic here. It might help.
 10 months ago

lala2Best ResponseYou've already chosen the best response.0
yeah that's what im doing!
 10 months ago

tcarroll010Best ResponseYou've already chosen the best response.1
ok, well thx for the recognition and have a great day.
 10 months ago
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