Question #25a29

1 Answer
Oct 27, 2016

Jake is 48/49 years old; Jan is 1 47/49 years old.
Unlikely that this was the intended answer but I couldn't find any way of interpreting the question that gave reasonable results.

Explanation:

(Assuming "5 2a times Jake's.." should be "52 times Jake's..."
and that the "less 48" applies to 52 times Jake's age).

Let Jake's age be x
and Jan's age be y

We are told
[1]color(white)("XXX")y=2x
and
[2]color(white)("XXX")x+y=52x-48

Substituting 2x for y (from [1]) into [2]
#color(white)("XXX")x+2x=52x-48

#color(white)("XXX")3x=52x-48

color(white)("XXX")0=49x-48

color(white)("XXX")48=49x

color(white)("XXX")x=48/49

and since y=2x
color(white)("XXX")rarr y= 1 47/49