How do you find two consecutive integers such that the sum of the first number and 3 times the second is 55?

Answer 1

The two consecutive integers are 13 and 14.

Let the first integer be #i#.
Then the second integer by definition would be #i + 1# because these are consecutive integers.

You problem can then be stated as:

#i + 3(i + 1) = 55#
Solving for #i# gives:
#i + 3I + 3 = 55#
#4i = 52#
#i = 13#
and therefore #i + 1 = 14#
#3 * 14 = 42#
#42 + 13 = 55#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

Let ( x ) be the first integer. Then, the second consecutive integer is ( x + 1 ). Using the given information, we can set up the equation: ( x + 3(x + 1) = 55 ). Solving this equation, we find ( x = 16 ). Therefore, the two consecutive integers are 16 and 17.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

Let ( x ) represent the first integer. Then the next consecutive integer would be ( x + 1 ).

According to the problem, the sum of the first number and three times the second number is 55. So, we can write the equation as:

[ x + 3(x + 1) = 55 ]

Solve this equation for ( x ):

[ x + 3x + 3 = 55 ] [ 4x + 3 = 55 ] [ 4x = 52 ] [ x = 13 ]

Therefore, the first integer is 13, and the next consecutive integer is ( 13 + 1 = 14 ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7