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The ratio of the age of Ram and Shyam 15 years ago was 2 : 5. The ratio of their present ages is 5 : 8. What will be the present age of Shyam?
- a)10
- b)15
- c)25
- d)40
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The ratio of the age of Ram and Shyam 15 years ago was 2 : 5. The rati...
GIVEN:
Ratio of age of Ram and Shyam (15 years ago)= 2 : 5
Ratio of present age of Ram and Shyam = 5 : 8
Ratio of age of Ram and Shyam (15 years ago)= 2 : 5
Ratio of present age of Ram and Shyam = 5 : 8
CALCULATION:
Let the ages of Ram and Shyam be x and y respectively.
⇒ x ∶ y = 5 ∶ 8
⇒ x/y = 5/8
⇒ x = 5y/8 ----(1)
Now, 15 years ago the ratio was 2 ∶ 5
⇒ (x - 15) / (y - 15) = 2/5
⇒ 5x – 2y = 45
⇒ 5(5y/8) – 2y = 45 from (1)
∴ y = 360/9 = 40 years.
Let the ages of Ram and Shyam be x and y respectively.
⇒ x ∶ y = 5 ∶ 8
⇒ x/y = 5/8
⇒ x = 5y/8 ----(1)
Now, 15 years ago the ratio was 2 ∶ 5
⇒ (x - 15) / (y - 15) = 2/5
⇒ 5x – 2y = 45
⇒ 5(5y/8) – 2y = 45 from (1)
∴ y = 360/9 = 40 years.
Most Upvoted Answer
The ratio of the age of Ram and Shyam 15 years ago was 2 : 5. The rati...
GIVEN:
Ratio of age of Ram and Shyam (15 years ago)= 2 : 5
Ratio of present age of Ram and Shyam = 5 : 8
Ratio of age of Ram and Shyam (15 years ago)= 2 : 5
Ratio of present age of Ram and Shyam = 5 : 8
CALCULATION:
Let the ages of Ram and Shyam be x and y respectively.
⇒ x ∶ y = 5 ∶ 8
⇒ x/y = 5/8
⇒ x = 5y/8 ----(1)
Now, 15 years ago the ratio was 2 ∶ 5
⇒ (x - 15) / (y - 15) = 2/5
⇒ 5x – 2y = 45
⇒ 5(5y/8) – 2y = 45 from (1)
∴ y = 360/9 = 40 years.
Let the ages of Ram and Shyam be x and y respectively.
⇒ x ∶ y = 5 ∶ 8
⇒ x/y = 5/8
⇒ x = 5y/8 ----(1)
Now, 15 years ago the ratio was 2 ∶ 5
⇒ (x - 15) / (y - 15) = 2/5
⇒ 5x – 2y = 45
⇒ 5(5y/8) – 2y = 45 from (1)
∴ y = 360/9 = 40 years.
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Community Answer
The ratio of the age of Ram and Shyam 15 years ago was 2 : 5. The rati...
GIVEN:
Ratio of age of Ram and Shyam (15 years ago)= 2 : 5
Ratio of present age of Ram and Shyam = 5 : 8
Ratio of age of Ram and Shyam (15 years ago)= 2 : 5
Ratio of present age of Ram and Shyam = 5 : 8
CALCULATION:
Let the ages of Ram and Shyam be x and y respectively.
⇒ x ∶ y = 5 ∶ 8
⇒ x/y = 5/8
⇒ x = 5y/8 ----(1)
Now, 15 years ago the ratio was 2 ∶ 5
⇒ (x - 15) / (y - 15) = 2/5
⇒ 5x – 2y = 45
⇒ 5(5y/8) – 2y = 45 from (1)
∴ y = 360/9 = 40 years.
Let the ages of Ram and Shyam be x and y respectively.
⇒ x ∶ y = 5 ∶ 8
⇒ x/y = 5/8
⇒ x = 5y/8 ----(1)
Now, 15 years ago the ratio was 2 ∶ 5
⇒ (x - 15) / (y - 15) = 2/5
⇒ 5x – 2y = 45
⇒ 5(5y/8) – 2y = 45 from (1)
∴ y = 360/9 = 40 years.
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The ratio of the age of Ram and Shyam 15 years ago was 2 : 5. The ratio of their present ages is 5 : 8. What will be the present age of Shyam?a)10b)15c)25d)40Correct answer is option 'D'. Can you explain this answer?
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