Question

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

Answer 1

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.

Answer 2

Hm. You said the smaller number is 2?

Answer 3

the remainder is 2

Answer 4

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?

Answer 5

Bah, sorry. That was:

\[\begin{align} x + 5x + 2 &= 44\\ 6x + 2 &= 44 \end{align}\]

Answer 6

thnkyou so much :)

Answer 7

No problem, glad to help!