if a and b are integers and 14/3 equals a/b what is the value of a plus b

Question

if  a and b are integers  and 14/3 equals a/b what is the value of a plus b

tkhunny · Answer

Proportion?  $\dfrac{a}{b} = \dfrac{14}{3}$

Then: $3a = 14b$

I suspect there are many more solutions than just one.

anonymous · Answer

The choices are 68, 66, 63, 60, 58

anonymous · Answer

Wats a good way to solve anyway

snowfire · Answer

You take the value of 14+3=17, and any multiples of that will work with the ratio

tkhunny · Answer

We want a+b.

We have 3a = 14b

Then 3a + b = 15b

Then a + b = 15b - 2a

That doesn't seem to be going anywhere.  Let's just ry some.58-68 isn't very far.

We have 3a = 14b

a = 14 and b = 3 is a relatively obvious solution.  No?

14 + 3 = 17

a = 28 and b = 6 is a relatively obvious solution.  Just double both a and b.

28 + 6 = 34

a = 56 and b = 12 is a relatively obvious solution.  Just double both a and b.

56 + 12 = 68 -- I think we have a winner!

anonymous · Answer

Thank u

anonymous · Answer

Perfect

anonymous · Answer

Why 4?

tkhunny · Answer

4 - because that's what worked.