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Ratio between present ages of A, B and C is 5:4:6. Total of the ages of A and C after 5 years will be 54 years. What will be the ratio of ages of B and C after 4 years?
- a)5:4
- b)5:7
- c)4:5
- d)Data inadequate
- e)None
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Ratio between present ages of A, B and C is 5:4:6. Total of the ages o...
Option (2) 5:7 is correct✅answer.
Explanation:-
Let age of A = 5 x
B= 4x
C = 6x
Then, according to the question;
( 5x+5) + (6x+5) = 54
11x + 10 = 54
=> 11x = 54-10
=> 11x = 44
=> x = 4
B's age after 4 years;
= 4x +4
=> 4*4+4
=> 20 years.
C's age after 4 years ;
= 6x+4
=>6*4+4
= 28 years
Therefore, ratio = 20/28
=> ratio = 5:7
Most Upvoted Answer
Ratio between present ages of A, B and C is 5:4:6. Total of the ages o...
Let age of A
is 5x age of B is 4x and age of C is 6x Then (5x+5)+(6x+5)= 54 11x=54-10 x=44/11=4 B's age after 4 years 4x+4 = 4×4+4=20 C's age after 4 years 6x+4 = 6×4+4 =28 years Ratio= 20/28 = 5:7 Ans
is 5x age of B is 4x and age of C is 6x Then (5x+5)+(6x+5)= 54 11x=54-10 x=44/11=4 B's age after 4 years 4x+4 = 4×4+4=20 C's age after 4 years 6x+4 = 6×4+4 =28 years Ratio= 20/28 = 5:7 Ans
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Ratio between present ages of A, B and C is 5:4:6. Total of the ages o...
Given information:
- The ratio between the present ages of A, B, and C is 5:4:6.
- The total of the ages of A and C after 5 years will be 54 years.
Let's assume the present ages of A, B, and C to be 5x, 4x, and 6x respectively.
Age of A after 5 years = 5x + 5
Age of C after 5 years = 6x + 5
According to the given information, the total of the ages of A and C after 5 years will be 54 years.
So, we have the equation:
(5x + 5) + (6x + 5) = 54
11x + 10 = 54
11x = 44
x = 4
Therefore, the present ages of A, B, and C are 20, 16, and 24 respectively.
Now, we need to find the ratio of the ages of B and C after 4 years.
Age of B after 4 years = 16 + 4 = 20
Age of C after 4 years = 24 + 4 = 28
So, the ratio of the ages of B and C after 4 years is 20:28, which can be simplified to 5:7.
Therefore, the correct answer is option B) 5:7.
- The ratio between the present ages of A, B, and C is 5:4:6.
- The total of the ages of A and C after 5 years will be 54 years.
Let's assume the present ages of A, B, and C to be 5x, 4x, and 6x respectively.
Age of A after 5 years = 5x + 5
Age of C after 5 years = 6x + 5
According to the given information, the total of the ages of A and C after 5 years will be 54 years.
So, we have the equation:
(5x + 5) + (6x + 5) = 54
11x + 10 = 54
11x = 44
x = 4
Therefore, the present ages of A, B, and C are 20, 16, and 24 respectively.
Now, we need to find the ratio of the ages of B and C after 4 years.
Age of B after 4 years = 16 + 4 = 20
Age of C after 4 years = 24 + 4 = 28
So, the ratio of the ages of B and C after 4 years is 20:28, which can be simplified to 5:7.
Therefore, the correct answer is option B) 5:7.
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