Jane is 6 years older than 3x as old as Jim. In 14 years the sum of their ages will be 86. How old is Jane now

Answer 1

N = jane
M = jim

N = 3M + 6
N+14 + M+14 = 86 // substitute for N
3M + 6 + 14 + M + 14 = 86
4M + 34 = 86
4M = 52
M = 13
N = 3*13 + 6 = 45, Jane is 45

Answer 2

Jim's age = x
Jane's age = 3x +6
(14+x) +(14 + 3x +6) =86
34 +4x =86
4x =52
x = 13 therefor jane's age now is 13(3) +6 = 45

Answer 3

x=Jane
y=Jim

x=6+3y

In 14 yrs their ages will be,
Jane=x+14 //we know x=6+3y therefore substituting x = 6+3y+14= 20+3y
Jim=y+14

Their total age is 86
So,
20+3y+y+14=86
34+4y=86
4y=52
y=13

Therefore Jane's age now=86-Jim's age
= 86-(y+14)
= 86-(13+14)
= 86-27
= 59 yrs-final answer
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