Question

Find the number. The sum of two numbers is 21. One of the numbers added to 6 of the other gives a sum of 15. Find the two numbers.

A) 12 and 9
B) 14 and 7
C) 10 and 11
D) 13 and 8

Answer 1

To find the two numbers, set up a system of equations and solve using substitution or elimination.

Step-by-step explanation:

To find the two numbers, we can set up a system of equations based on the given information:

Let x represent the first number and y represent the second number.

The sum of the two numbers is 21, so we have the equation:

x + y = 21

One of the numbers (x) added to 6 times the other number (y) gives a sum of 15:

x + 6y = 15

We can solve this system of equations using substitution or elimination.

Let's use substitution:

From the first equation, we can express x as 21 - y.

Substituting this value for x in the second equation:

(21 - y) + 6y = 15

21 + 5y = 15

5y = -6

y = -1.2

Substituting the value of y back into the first equation:

x + (-1.2) = 21

x = 22.2

The two numbers are approximately 22.2 and -1.2.

The correct answer is not provided in the options given.