Kousuke Kousuke
  • 04-10-2023
  • Mathematics
College

Find two consecutive integers whose sum is 151.

Answer :

KhaileyR393290 KhaileyR393290
  • 14-04-2024

Let the consecutive integers be x , x + 1)

The sum of the consecutive integers is 151, i.e

[tex]x+(x+1)=151[/tex]

Open the bracket and solve for x

[tex]\begin{gathered} x+x+1=151 \\ 2x+1=151 \\ \text{Collect like terms} \\ 2x=151-1 \\ 2x=150 \\ \text{Divide both sides by 2} \\ \frac{2x}{2}=\frac{150}{2} \\ x=75 \end{gathered}[/tex]

If x is 75, then the consecutive integer will be

[tex]x+1=75+1=76[/tex]

Hence, the consecutive integers, x, (x + 1) are 75 and 76

Answer Link

Other Questions

43 less than the product of 159 and n
How much slush syrup goes into a 20 oz. Medium? A. 10
Choose the correct simplification of [tex](5x^3 - 5x - 8)(2x^3 + 4x
Mrs. Barkley has 75 feet of ribbon. If each of the 18
Select the correct answer. Which expression is a prime polynomial? A. [tex]10x^4
What is 62 kilos in pounds?
Select the correct answer.What is the solution to the problem expressed to
During the winter months, when it is cold, the internet works at
Type the correct answer in the box.Sarah measures out 151 grams of
Find the surface area of the cylinder to the nearest 10th of
This diagram of airport runway intersections shows two parallel runways. A taxiway
The cost of 4 kg apples is ₹ 124. What is the
In baseball, each time a player attempts to hit the ball, it
How did Lester Maddox challenge the Civil Rights Act of 1964? A.
What is \(1\) divided by \(\frac{14}{15}\)?