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The ratio of two number is 15:19 if a certain number added to them it becomes 8:9 what is the number?
Most Upvoted Answer
The ratio of two number is 15:19 if a certain number added to them it ...
Given:
Ratio of two numbers = 15:19
New ratio after adding a certain number = 8:9
To Find:
The number that was added
Solution:
Let the two numbers be 15x and 19x.
According to the question, the ratio of the two numbers is 15:19. Therefore, we can write the equation:
15x/19x = 15/19
Cross-multiplying, we get:
15 × 19x = 19 × 15x
285x = 285x
Thus, we get x = 1.
Therefore, the two numbers are 15 and 19.
Let the number that was added be y.
The new ratio of the numbers is 8:9 after adding y.
Therefore, we can write the equation:
(15 + y)/(19 + y) = 8/9
Cross-multiplying, we get:
9(15 + y) = 8(19 + y)
Simplifying the above equation, we get:
135 + 9y = 152 + 8y
y = 17
Answer:
The number that was added is 17.
Ratio of two numbers = 15:19
New ratio after adding a certain number = 8:9
To Find:
The number that was added
Solution:
Let the two numbers be 15x and 19x.
According to the question, the ratio of the two numbers is 15:19. Therefore, we can write the equation:
15x/19x = 15/19
Cross-multiplying, we get:
15 × 19x = 19 × 15x
285x = 285x
Thus, we get x = 1.
Therefore, the two numbers are 15 and 19.
Let the number that was added be y.
The new ratio of the numbers is 8:9 after adding y.
Therefore, we can write the equation:
(15 + y)/(19 + y) = 8/9
Cross-multiplying, we get:
9(15 + y) = 8(19 + y)
Simplifying the above equation, we get:
135 + 9y = 152 + 8y
y = 17
Answer:
The number that was added is 17.
Community Answer
The ratio of two number is 15:19 if a certain number added to them it ...
Answer is 17.
15+17=32
19+17=36
32:36=8:9
15+17=32
19+17=36
32:36=8:9
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The ratio of two number is 15:19 if a certain number added to them it becomes 8:9 what is the number?
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The ratio of two number is 15:19 if a certain number added to them it becomes 8:9 what is the number? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio of two number is 15:19 if a certain number added to them it becomes 8:9 what is the number? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two number is 15:19 if a certain number added to them it becomes 8:9 what is the number?.
The ratio of two number is 15:19 if a certain number added to them it becomes 8:9 what is the number? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio of two number is 15:19 if a certain number added to them it becomes 8:9 what is the number? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two number is 15:19 if a certain number added to them it becomes 8:9 what is the number?.
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