Question # 41) Brett is 18 years younger than Mark. Carl is 10 years youngerthan Mark. The sum of the ages of Brett, Mark, and Carl is 212How old are each of the 3 men? EXPLAIN:
Accepted Solution
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Answer:Brett is 62 years old, Mark is 80 years old and Carl is 70 years oldStep-by-step explanation:First; we let Brett age to be = xlet Mark age to be = y let Carl age to be = zFrom the question;since Brett is 18 years younger than Mark, then Brett age is ; x = y - 18Also, since Carl is 10 years older younger than Mark, then Carl age is:z = y-10Also, from the question says the sum of the ages of Brett, Mark and Carl is 212This means when you add all their ages together, you will have 212so; x + y + z = 212From the equation above, we can substitute x with y-18 and then substitute z with y-10y-18 + y + y-10 = 2123y - 28 = 212add 28 to both-side of the equation3y - 28 + 28 = 212 + 283y = 240Divide both-side of the equation by 33y/3 = 240/3y = 80But x = y -18 = 80 -18 = 62Also; z = y - 10 = 80 -10 = 70Since x represent Brett age, then Brett's is 62 years oldAlso, y represent Mark's age, therefore Mark is 80 years oldFinally z represent Carl's age, therefore Carl is 70 years old.