At present, A is thrice as old as B. C is 5 years elder than B. The sum of the ages of A, B, C is 75 years. The ratio of the age of B five years ago to the age of A three years from now is:
Question:
At present, A is thrice as old as B. C is 5 years elder than B. The sum of the ages of A, B, C is 75 years. The ratio of the age of B five years ago to the age of A three years from now is:
At present, A is thrice as old as B. C is 5 years elder than B. The sum of the ages of A, B, C is 75 years. The ratio of the age of B five years ago to the age of A three years from now is:
Options
Answer: (4) 1 : 5
Explanation:
Let B = x. Then A = 3x and C = x + 5. Sum of ages: 3x + x + (x + 5) = 75 5x + 5 = 75 5x = 70 x = 14 So, B = 14 A = 42 B five years ago = 14 − 5 = 9 A three years from now = 42 + 3 = 45 Required ratio = 9 : 45 = 1 : 5 Final Answer: 1 : 5
Explanation:
Let B = x. Then A = 3x and C = x + 5. Sum of ages: 3x + x + (x + 5) = 75 5x + 5 = 75 5x = 70 x = 14 So, B = 14 A = 42 B five years ago = 14 − 5 = 9 A three years from now = 42 + 3 = 45 Required ratio = 9 : 45 = 1 : 5 Final Answer: 1 : 5
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