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The ratio of two numbers a and b is 3:7. After adding 9 to each number, the ratio becomes 9:17. The numbers a and b are:
- a)(6,14)
- b)(9,21)
- c)(15,35)
- d)(18,42)
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The ratio of two numbers a and b is 3:7. After adding 9 to each number...
Let the number be 3x and 7x.
(3x+9):(7x+9) = 9:17, or
17(3x+9) = 9(7x+9), or
51x+153 = 63x+81, or
x = 6
Therefore the numbers are :-
First number = 3x = 3*6 = 18
Second number = 7x = 7*6 = 42
So, the correct option is (D)
(3x+9):(7x+9) = 9:17, or
17(3x+9) = 9(7x+9), or
51x+153 = 63x+81, or
x = 6
Therefore the numbers are :-
First number = 3x = 3*6 = 18
Second number = 7x = 7*6 = 42
So, the correct option is (D)
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The ratio of two numbers a and b is 3:7. After adding 9 to each number...
Given Information:
The ratio of two numbers a and b is 3:7.
After adding 9 to each number, the ratio becomes 9:17.
Solution:
Step 1: Setting up equations
Let the two numbers be 3x and 7x.
After adding 9 to each number, the new numbers become 3x + 9 and 7x + 9.
According to the second condition, the new ratio is 9:17.
Step 2: Forming equations based on ratios
We can write the equations based on the given ratios:
(3x + 9) / (7x + 9) = 9/17
Step 3: Solving the equation
Cross multiply to solve for x:
17(3x + 9) = 9(7x + 9)
51x + 153 = 63x + 81
12x = 72
x = 6
Step 4: Finding the numbers a and b
Substitute x back into 3x and 7x to find a and b:
a = 3(6) = 18
b = 7(6) = 42
Therefore, the numbers a and b are 18 and 42, respectively, which corresponds to option D.
The ratio of two numbers a and b is 3:7.
After adding 9 to each number, the ratio becomes 9:17.
Solution:
Step 1: Setting up equations
Let the two numbers be 3x and 7x.
After adding 9 to each number, the new numbers become 3x + 9 and 7x + 9.
According to the second condition, the new ratio is 9:17.
Step 2: Forming equations based on ratios
We can write the equations based on the given ratios:
(3x + 9) / (7x + 9) = 9/17
Step 3: Solving the equation
Cross multiply to solve for x:
17(3x + 9) = 9(7x + 9)
51x + 153 = 63x + 81
12x = 72
x = 6
Step 4: Finding the numbers a and b
Substitute x back into 3x and 7x to find a and b:
a = 3(6) = 18
b = 7(6) = 42
Therefore, the numbers a and b are 18 and 42, respectively, which corresponds to option D.
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The ratio of two numbers a and b is 3:7. After adding 9 to each number, the ratio becomes 9:17. The numbers a and b are:a)(6,14)b)(9,21)c)(15,35)d)(18,42)Correct answer is option 'D'. Can you explain this answer?
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The ratio of two numbers a and b is 3:7. After adding 9 to each number, the ratio becomes 9:17. The numbers a and b are:a)(6,14)b)(9,21)c)(15,35)d)(18,42)Correct answer is option 'D'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about The ratio of two numbers a and b is 3:7. After adding 9 to each number, the ratio becomes 9:17. The numbers a and b are:a)(6,14)b)(9,21)c)(15,35)d)(18,42)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two numbers a and b is 3:7. After adding 9 to each number, the ratio becomes 9:17. The numbers a and b are:a)(6,14)b)(9,21)c)(15,35)d)(18,42)Correct answer is option 'D'. Can you explain this answer?.
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