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13 years ago, Ram was twice as old as Sunny. Three years from now Sunny’s age will be 3/5 of Ram’s age. What is Ram’s current age?
- a)64 years
- b)72 years
- c)80 years
- d)77 years
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
13 years ago, Ram was twice as old as Sunny. Three years from now Sunn...
13 years ago, Ram was twice as old as Sunny,
Let Ram be ‘R’ years old and Sunny be ‘S’ years old,
⇒ (R – 13) = 2(S – 13)
⇒ R – 13 = 2S – 26
⇒ 2S – R = 13
Three years from now, Sunny’s age will be 3/5 of Ram’s age,
⇒ (S + 3) = 3/5(R + 3)
⇒ 5S + 15 = 3R + 9
⇒ 3R – 5S = 6
Solving,
⇒ 3R – 5(13 + R) /2 = 6
⇒ 6R – 65 – 5R = 12
⇒ R = 77
∴ Ram present age is 77 years.
Let Ram be ‘R’ years old and Sunny be ‘S’ years old,
⇒ (R – 13) = 2(S – 13)
⇒ R – 13 = 2S – 26
⇒ 2S – R = 13
Three years from now, Sunny’s age will be 3/5 of Ram’s age,
⇒ (S + 3) = 3/5(R + 3)
⇒ 5S + 15 = 3R + 9
⇒ 3R – 5S = 6
Solving,
⇒ 3R – 5(13 + R) /2 = 6
⇒ 6R – 65 – 5R = 12
⇒ R = 77
∴ Ram present age is 77 years.
Most Upvoted Answer
13 years ago, Ram was twice as old as Sunny. Three years from now Sunn...
Given Information:
- 13 years ago, Ram was twice as old as Sunny.
- Three years from now Sunny’s age will be 3/5 of Ram’s age.
Let's assume:
- Ram's current age = R
- Sunny's current age = S
Calculating Ram and Sunny's ages 13 years ago:
- Ram's age 13 years ago = R - 13
- Sunny's age 13 years ago = S - 13
From the first given information:
R - 13 = 2(S - 13)
R - 13 = 2S - 26
R = 2S - 13 ---(1)
Calculating Ram and Sunny's ages after 3 years:
- Ram's age after 3 years = R + 3
- Sunny's age after 3 years = S + 3
From the second given information:
S + 3 = (3/5)(R + 3)
5S + 15 = 3R + 9
5S = 3R - 6 ---(2)
Solving equations (1) and (2) simultaneously:
Substitute R = 2S - 13 from equation (1) into equation (2):
5S = 3(2S - 13) - 6
5S = 6S - 39 - 6
5S = 6S - 45
S = 45
Substitute S = 45 into equation (1):
R = 2(45) - 13
R = 90 - 13
R = 77
Therefore, Ram's current age is 77 years old. Hence, the correct answer is option 'D'.
- 13 years ago, Ram was twice as old as Sunny.
- Three years from now Sunny’s age will be 3/5 of Ram’s age.
Let's assume:
- Ram's current age = R
- Sunny's current age = S
Calculating Ram and Sunny's ages 13 years ago:
- Ram's age 13 years ago = R - 13
- Sunny's age 13 years ago = S - 13
From the first given information:
R - 13 = 2(S - 13)
R - 13 = 2S - 26
R = 2S - 13 ---(1)
Calculating Ram and Sunny's ages after 3 years:
- Ram's age after 3 years = R + 3
- Sunny's age after 3 years = S + 3
From the second given information:
S + 3 = (3/5)(R + 3)
5S + 15 = 3R + 9
5S = 3R - 6 ---(2)
Solving equations (1) and (2) simultaneously:
Substitute R = 2S - 13 from equation (1) into equation (2):
5S = 3(2S - 13) - 6
5S = 6S - 39 - 6
5S = 6S - 45
S = 45
Substitute S = 45 into equation (1):
R = 2(45) - 13
R = 90 - 13
R = 77
Therefore, Ram's current age is 77 years old. Hence, the correct answer is option 'D'.
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13 years ago, Ram was twice as old as Sunny. Three years from now Sunny’s age will be 3/5 of Ram’s age. What is Ram’s current age?a)64 yearsb)72 yearsc)80 yearsd)77 yearsCorrect answer is option 'D'. Can you explain this answer?
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13 years ago, Ram was twice as old as Sunny. Three years from now Sunny’s age will be 3/5 of Ram’s age. What is Ram’s current age?a)64 yearsb)72 yearsc)80 yearsd)77 yearsCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about 13 years ago, Ram was twice as old as Sunny. Three years from now Sunny’s age will be 3/5 of Ram’s age. What is Ram’s current age?a)64 yearsb)72 yearsc)80 yearsd)77 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 13 years ago, Ram was twice as old as Sunny. Three years from now Sunny’s age will be 3/5 of Ram’s age. What is Ram’s current age?a)64 yearsb)72 yearsc)80 yearsd)77 yearsCorrect answer is option 'D'. Can you explain this answer?.
13 years ago, Ram was twice as old as Sunny. Three years from now Sunny’s age will be 3/5 of Ram’s age. What is Ram’s current age?a)64 yearsb)72 yearsc)80 yearsd)77 yearsCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about 13 years ago, Ram was twice as old as Sunny. Three years from now Sunny’s age will be 3/5 of Ram’s age. What is Ram’s current age?a)64 yearsb)72 yearsc)80 yearsd)77 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 13 years ago, Ram was twice as old as Sunny. Three years from now Sunny’s age will be 3/5 of Ram’s age. What is Ram’s current age?a)64 yearsb)72 yearsc)80 yearsd)77 yearsCorrect answer is option 'D'. Can you explain this answer?.
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