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

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Answer 1 · 2018-03-25T02:40:24

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

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#.