This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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You're on a roll — here are the solutions to questions 8 and 9: Question 8: Let's list the characteristics of each boy based on the given information: Segun: Tall, Handsome Hamzat: Tall, Dark Busari: Dark Ika: Handsome a) Who is both tall and handsome? Segun is described as both tall and handsome. The answer is Segun. b) Who is neither tall nor handsome? Busari is described as dark, but not tall or handsome. The answer is Busari. c) Who is both tall and dark? Hamzat is described as both tall and dark. The answer is Hamzat. d) Who is tall but not handsome? Hamzat is tall and dark, but not handsome. The answer is Hamzat. e) Who is handsome but not dark? Segun is handsome and not dark. Ika is also handsome and not dark. The answer is Segun and Ika. Question 9: Step 1: Determine Bako's current age. Let Bako's current age be B. Five years ago, Bako's age was B-5. The problem states Bako is twice as old as he was five years ago: B = 2(B-5) B = 2B - 10 10 = 2B - B B = 10 Bako's current age is 10 years. Step 2: Determine the mother's current age and verify consistency. The mother is now 35 years old. Five years ago, Bako was 10-5=5 years old. Five years ago, the mother was 35-5=30 years old. The problem states the mother was six times as old as Bako five years ago: 30 = 6 × 5 30 = 30 This is consistent. a) How old is Bako? Bako's current age is 10 years. The answer is 10 years old. b) How old was his mother when Bako was five? Bako is currently 10 years old. He was five years old 10-5=5 years ago. His mother's current age is 35. So, 5 years ago, his mother was 35-5=30 years old. The answer is 30 years old. c) How old will Bako be when his mother is 50? His mother is currently 35 years old. She will be 50 in 50-35=15 years. Bako is currently 10 years old. In 15 years, Bako will be 10+15=25 years old. The answer is 25 years old. d) How old was Bako's mother when he was born? Bako is currently 10 years old. He was born 10 years ago. His mother is currently 35 years old. So, 10 years ago, his mother was 35-10=25 years old. The answer is 25 years old. e) What is the difference between Bako's age and his mother's? Mother's current age is 35 years. Bako's current age is 10 years. The difference is 35-10=25 years. The answer is 25 years. What's next?