Multiple choice

Jack and Wayne are brothers. Jack is 5 years older than Wayne and sum of their ages is 85 years. If £204 is divided among them in the ratio of their ages, how much money each of them will get?

  1. Jack = £100 Wayne = £104

  2. Jack =£105 Wayne = £100

  3. Jack = £150 Wayne = £54

  4. Jack =£108 Wayne = £96
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Wayne's age be W, Jack's be W+5. W + W + 5 = 85 => 2W = 80 => W = 40. Jack = 45, Wayne = 40. Ratio = 45:40 = 9:8. Total parts = 17. 204 / 17 = 12. Jack = 9 * 12 = 108. Wayne = 8 * 12 = 96.

AI explanation

Let Wayne's age be x, so Jack's age is x + 5, and their sum gives 2x + 5 = 85. Solving yields x = 40, so Wayne is 40 and Jack is 45, making their ratio 9 to 8. Dividing 204 in this ratio gives Jack 9 divided by 17 times 204, which is 108, and Wayne 8 divided by 17 times 204, which is 96.

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