Hi...I need help with my math homework...?

Question

I need help setting up the equations and solving. Here is the question...

The sum of 2 numbers is 74. The larger number is 3 more than the smaller number. Find the numbers.

Thanks!

Answer 1

Lets put the numbers in terms of x's and y's
Let the two numbers be x and y
so, x+y = 74
Let x be the larger number
so, x+3 = y
now substitute x+3 in place of y in the forst equation
x+x+3 = 74
2x+3 = 74
2x = 71
x = 35.5
y = 35.5 + 3 = 38.5

Hope that helped :)

Answer 2

Call the numbers 'x'

So you have x
and then x (because it's the same number, just with another number added to it) +3
and together they equal 74

So:
x + x + 3 = 74

you can simplify it to

2x + 3 = 74

subtract 3 from both sides

2x = 71

Divide both sides by 2

and you have: x = 35.5

Answer 3

Easiest way is to take 3 from 74, divied the remainder by two and add 3 to one of them. So

74 - 3 = 71
71/2 = 35.5
35.5 + 3 = 38.5

So you've got 35.5 and 38.5

Easy!

Answer 4

let the smaller # be x
the larger# is therefore x+3
but x+(x+3)=74
2x+3=74
2x=74-3
2x=71
x=71\2
x=35.5
.
. . x+3 =35.5+3=38.5

Answer 5

x+y=74
y=x+3

x+x+3=74
2x=71
x=35.5
y=35.5 +3
y=38.5

Answer 6

35.5 and 38.5