MATHEMATICS HIGH SCHOOL

The sum of two numbers is seventy-two. One number is two times another. What are the numbers?

Answers

Answer 1

Answer:

Answer:

24 and 48

Step-by-step explanation:

Let's let the two numbers be a and b.

Their sum is 72. So:

$a+b=72$

One number (let's use a) is two times another (b). In other words:

$a=2b$

We have a system of equations. We can solve by substituting the second equation into the first. So:

$2b+b=72$

Combine like terms:

$3b=72$

Divide both sides by 3:

$b=24$

So, one of the numbers is 24.

Since their sum is 72, this means that the other number is 72-24 or 48.

So, our two numbers is 24 and 48.

And we're done!

Related Questions

Choose the correct simplification of the expression b5 ⋅ b4. can you explain your answer
Select all that apply.Which statements are correct? Percent of change is positive if the change is an increase. Percent of change is positive if the change is a decrease. Percent of change is negative if the change is an increase. Percent of change is negative if the change is a decrease.
7. What is the length of the altitude CD in the figure?O A. 2.7B. 2.2C. 3.9O D. 3.3BackNext
If a plane departed at 12:30 A.M. and arrived at 8:15 A.M., what was the length of time for the flight?
the figure below shows segments ac and ef which intersect at point b. segment af is parallel to segment ec: which of these facts is used to prove that triangle abf is similar to triangle cbe? angle fab is equal to angle ceb because corresponding angles are congruent. angle abf is congruent to angle ceb because vertically opposite angles are congruent. angle afb is congruent to angle ceb because alternate interior angles are congruent. angle afb is congruent to angle ceb because supplementary angles are congruent. i chose b, but i'm not positive it is the answer. can anyone give some clarification?

A caterer is planning a large dinner party for 385 guests. Each table must seat an equal number of gusts, more than 1 guest and fewer than 20. Determine the number of possible table sizes. If the caterers use 7-person tables, how many tables will they need?-Jarvis

Answers

Answer: The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.

For tables that seat 7, the caterer would need 11*13 = 143 tables.

For tables that seat 11, the caterer would need 7*13 = 91 tables.

For tables that seat 13, the caterer would need 7*11 = 77 tables

Step-by-step explanation:

hopefully this is right

Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.Billy exercised for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week.

Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising?

A) Amanda's method is linear because the number of minutes increased by an equal number every week.
B) Billy's method is linear because the number of minutes increased by an equal factor every week.
C) Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal factor every week.
D) Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal number every week.