Question

Sally was asked to find two integers such that one is three less than 4 times the other and the sum of the two integers is 42. The integers must be _____.
A.
14, 28
B. 15, 27
C.
9, 33
D.
-13, 55

@phi

Answer 1

@Johnbc

Answer 2

@Johnbc

Answer 3

Let the first integer be 'x'
And the second be 'y'

" one is three less than 4 times the other"

Let 'x' be 'x'

And so 'y' will be represented as "4x - 3"

"sum of the two integers is 42"

So

\[\large x + y = 42\]

we know y = 4x -3 so

\[\large x + 4x - 3 = 42\]

Add 3 to both sides

\[\large x + 4x = 45\]

Add the 'x's

\[\large 5x = 45\]

what does 'x' = ?

Answer 4

x= 9?

Answer 5

Correct

Answer 6

Right,

And if x = 9

Then y (since it is represented as 4x - 3) will equal

\[\large y = 4(9) - 3\]
\[\large y = ?\]

Answer 7

so the answer is c? 9,33?

Answer 8

You can use your x value to solve for your Y value or look at your answer choices and see if you can already identify a match.

Answer 9

Correct

Answer 10

Correct!

Answer 11

thank you both!!