One number is five more than three times another. If their difference is 35, what is the larger number?

Question

johnweldon1993 · Answer

Let our numbers be 'x' and 'y'

one number (x) is 5 more than 3 times the other...

5 more = + 5
3 times other number = 3y so

x = 3y + 5

now the difference between these 2 numbers = 35....so

x - y = 35

we now know that x = 3y + 5

so substitute that into this new equation...and solve for y...

x - y = 35 ...becomes
3y + 5 - y = 35

What does 'y' equal...?

anonymous · Answer

y=15

johnweldon1993 · Answer

Correct....now that we know y = 15.....we can solve for 'x'

we know that

x - y = 35

since y = 15 we have

x - 15 = 35

what does 'x' equal...?

anonymous · Answer

x=50

johnweldon1993 · Answer

Right....so we have that x = 50 and y = 15

lets check if it's correct....we know that

x = 3y + 5 right?

well if x = 50 and y = 15 ...this is written as

50 = 3(15) + 5

is this a correct statement...?

anonymous · Answer

hm yea? thanks so much:)

johnweldon1993 · Answer

50 = 3(15) + 5
50 = 45 + 5
50 = 50

so yes it is a correct statement...so these numbers do indeed work....so the answer to your question of "what is the larger number" is 50...

no problem :)