joe is x years old and is 25 year older than his son Brian who is y years old. the sum of their age is 49. a. find joe age now. b. brians age in 5 years time.
x = y+25
x+y = 49
ow just find x and y, and go from there.
x=17
y=21
To find Joe's age now, we need to set up a system of equations based on the given information:
1) Joe is x years old and is 25 years older than his son Brian: Joe = Brian + 25.
2) The sum of their ages is 49: Joe + Brian = 49.
a) To find Joe's age now, we can solve this system of equations.
Substitute the first equation (Joe = Brian + 25) into the second equation (Joe + Brian = 49):
(Brian + 25) + Brian = 49
2 * Brian + 25 = 49
2 * Brian = 49 - 25
2 * Brian = 24
Brian = 24 / 2
Brian = 12
Substitute Brian's age (12) into the first equation (Joe = Brian + 25):
Joe = 12 + 25
Joe = 37
Therefore, Joe is currently 37 years old.
b) To find Brian's age in 5 years' time, we simply need to add 5 to his current age of 12:
Brian in 5 years' time = 12 + 5
Brian in 5 years' time = 17
So, Brian will be 17 years old in 5 years.