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Mathematics 98 Online
OpenStudy (anonymous):

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

OpenStudy (shadowfiend):

Ok, 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.

OpenStudy (shadowfiend):

Hm. You said the smaller number is 2?

OpenStudy (anonymous):

the remainder is 2

OpenStudy (shadowfiend):

Ah, 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?

OpenStudy (shadowfiend):

Bah, sorry. That was: \begin{align} x + 5x + 2 &= 44\\ 6x + 2 &= 44 \end{align}

OpenStudy (anonymous):

thnkyou so much :)

OpenStudy (shadowfiend):

No problem, glad to help!

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