the elder of two brothers is 4 years older that the younger. If he is also 3times as older as as the younger, find their ages
Answers
Answer:
9 and 29. Did it in my head.
4 year ago, the sum of their ages would have been 8 years less than now, because both ages would be 4 years smaller. Thus, at that time, the sum of their ages would have been 30.
Then, I worked some trial & error of small-ish numbers in my head to find an integer plus its square equaling 30 and found 5 and 25. Add 4 years and you get 9 and 29, which satisfies the problem statement.
(If you write the “4-years-ago” condition as a quadratic equation, you'll also find the solution that -6 and 36 also works, but creates a not-sensible answer. The end answer to this one would end up being, “one brother is 40 years old, and the other will be born in 2 years.” i.e. the younger brother’s age is -2, which arguably works mathematically, but is not a sensible way that we think of ages!)
Step-by-step explanation:
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Answer:
Elder brothers age 12
Step-by-step explanation:
Also younger brothers age = 15