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25 votes
25 votes
One number is 4 times a second number and their sum is 80 . find the two numbers

User Shadowwolf
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1 Answer

14 votes
14 votes

Answer:

64 and 16

Step-by-step explanation:

Let's call the first number x and the second number y.

If the sum of the two numbers is 80, we can write the following equation

x + y = 80

Additionally, one number is 4 times a second number, so

x = 4y

Therefore, we have the following system of equations

x + y = 80

x = 4y

Now, we can replace the second equation on the first equation

x + y = 80

4y + y = 80

5y = 80

Solving for y, we get

5y/5 = 80/5

y = 16

Then, the value of x is

x = 4y

x = 4(16)

x = 64

Therefore, the two numbers are 64 and 16.

User NeatNerd
by
3.7k points