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anonymous
 5 years ago
the sum of 2 number us 44and if the larger number is divided by the samller number then the quotient is 5and smaller # is 2 find the numbers
anonymous
 5 years ago
the sum of 2 number us 44and if the larger number is divided by the samller number then the quotient is 5and smaller # is 2 find the numbers

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shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, so we are told a few things. First off, we'll call the two numbers we're looking at \(x\) and \(y\)  let's say \(x\) is the smaller number. We are told the sum of the two numbers is 44, so that means: $$ x + y = 44 $$ We are also told that the larger number divided by the smaller number is 5, which means: $$ \frac{y}{x} = 5 $$ Since we said x is the smaller number.

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Hm. You said the smaller number is 2?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Ah, ok, so y / x is 5 remainder 2. That means that: $$ 5x + 2 = y $$ Then, we can plug that back into the first equation to get: \[ \begin{valign} x + 5x + 2 &= 44 6x + 2 &= 44 \end{valign} \] Then you can solve that equation to find x, and then you can plug back into \(\frac{y}{x} = 5\) to solve for y. Is that enough for you to get the answer?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Bah, sorry. That was: \[\begin{align} x + 5x + 2 &= 44\\ 6x + 2 &= 44 \end{align}\]

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0No problem, glad to help!
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