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A is 5 years older than B and 10 years younger than C. If the sum of ages of A, B and C together after 5 years is 80 years. Find the present age of B.
  • a)
    15 years
  • b)
    20 years
  • c)
    30 years
  • d)
    25 years
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A is 5 years older than B and 10 years younger than C. If the sum of a...
Let the age of B be x years
So, the age of A = (x + 5)
And the age of C = (x + 5 +10) = (x + 15)
Now, age of B after 5 years = (x + 5)
Age of A after 5 years = (x + 5) + 5 = (x + 10)
 Age of C after 5 years = (x + 15) + 5 = (x + 20)
according to question,
sum of their ages after 5 years = 80
So, (x + 5) + (x + 10) + (x + 20) = 80
⇒ 3x + 35 = 80 
⇒ 3x = 45
So, x = 15
∴ present age of B = 15 years
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Community Answer
A is 5 years older than B and 10 years younger than C. If the sum of a...
Given information:
- A is 5 years older than B
- A is 10 years younger than C
- The sum of ages of A, B, and C together after 5 years is 80 years

Let's assume the present age of B as x.

Age of A:
Since A is 5 years older than B, the present age of A would be x + 5.

Age of C:
Since A is 10 years younger than C, the present age of C would be (x + 5) + 10 = x + 15.

Sum of ages after 5 years:
After 5 years, the age of A will be (x + 5) + 5 = x + 10.
After 5 years, the age of B will be x + 5.
After 5 years, the age of C will be (x + 15) + 5 = x + 20.

According to the given information, the sum of ages of A, B, and C after 5 years is 80 years:

(x + 10) + (x + 5) + (x + 20) = 80
3x + 35 = 80
3x = 45
x = 15

Therefore, the present age of B is 15 years.
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A is 5 years older than B and 10 years younger than C. If the sum of ages of A, B and C together after 5 years is 80 years. Find the present age of B.a)15 yearsb)20 yearsc)30 yearsd)25 yearsCorrect answer is option 'A'. Can you explain this answer?
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