The second of two numbers is 6 times the first. The sum is 77. How do you find the numbers?

1 Answer
Mar 25, 2018

a=11, b=66
You should set up two equations.

Explanation:

The second of two numbers is 6 times the first. This means that you must multiply the first number by 6 to get the second number.

=>6a=b

The sum is 77.

=>a+b=77

You want to set the equations equal to each other, so subtract a from both sides:

=>b=77-a

Now set them equal:

=>6a=77-a

Add a to both sides:

=>7a=77

Divide by 7

=>a=11

Now plug this into the first equation:

=>6(11)=b -> 66=b

So a=11 and b=66.