Ask your own question, for FREE!
Mathematics 15 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!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Countless7Echos: ik i'm late but finished ToT added some details :p
3 hours ago 2 Replies 0 Medals
Grimson: What's your new years resolution.
8 hours ago 1 Reply 1 Medal
LemmyluvsGelo: Why be sad when you could js be Gone . ud83dudd7a
7 hours ago 4 Replies 1 Medal
Ferrari: anyone have insta??
4 hours ago 23 Replies 3 Medals
xXAikoXx: I made art
13 hours ago 6 Replies 3 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!