Andy is twice as as as in 6 years, their ages will total 60. How is each now?

This question seems to have been mis-typed, unsure of what to do in this situation...

1 Answer
Apr 15, 2017

I will assume that "Andy is twice as old as Beth, and in six years their ages will add up to #60#". Then Andy is #32# and Beth is #16#.

Explanation:

Let #a# be Andy's age and #b# be Beth's age. Thus

#a=2b#

#(a+6)+(b+6)=60#

The second equation can be simplified, thus

#a+b=48#

Then with the first equation we must have #a=2b#, thus it is possible to substitute #2b# for #a# in the simplified second equation:

#color (blue)a+b=48#
#color (blue)(2b)+b=48#

Then

#3b=48#
#b=16#
#a=2b=32#