Brian and his son have a total age of 84.Brian is 26 years older than his son .how old is Brian?
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the statement:
Brian and his son have a total age of 84. Brian is 26 years older than his son
Determine how old is Brian.
Representation:
The given conditions of Brian and his son can be represented as,
Let x = Son's age
x + 26 = Brians age
(x ) + ( x + 26) = 84
Solution:
In order to determine how old is Brian, we solve for x.
(x ) + ( x + 26) = 84
x + x + 26 = 84
2x + 26 = 84
Transpose 26 on the other side of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
2x = 84 - 26
2x = 58
Divide both sides by 2 in order to cancel out 2x leaving behind x.
2x/2 = 58/2
x = 29
Son's age = 29
Brian's age = (29+ 26)
Brian's age = 55
Check
(29) + (55) = 84
84 = 84
Final answer:
Brian is 55 years old.