Mario is 15 years older than Pete. Two years from now, Mario will be four times as old as Pete. How old is each now?

2 Answers

Answer:

Mario is #18# years old and Pete is #3# years old.

Explanation:

Let Pete be #x# years old and Mario be #x+15# years old. After #2# years, Pete will be #x+2# and Mario will be

#(x+15+2)=x+17#

Given Mario will be #4# times as old as Pete

#x+17 = 4(x+2)#

#x+17 = 4x+8#

#-3x = 8-17#

#3x = 9#

# x = 3#

Therefore, Pete's present age is #3# yrs and Mario's present age is #x+15#, i.e. #18# yrs.

Apr 27, 2018

Answer:

Pete is #3#, Mario is #18#

Explanation:

#M = 15 + P# #lArr# this is always true! Mario is always #15# years older than Pete

and

#M= 4P # #color(white)(..)# (two years from now)

set them equal to eachother and solve

#15 + P = 4P #

#15 = 3P#

#5 = P#

Pete would be #5# years old in #2# years, and Mario would be #20# years old. If our math is right, then Pete should be one quarter of Mario's age. Is that true?

#20/4 = 5#, which is how old Pete is (in two years)! How old are he and Mario now?

Mario is #20-2# or #18# years old and Pete is #5-2# or #3#.