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The sum of three numbers is 98 . If the ratio of the first to the second is 2:3 and that of the second to the third 5:8 , then the second number is ?
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The sum of three numbers is 98 . If the ratio of the first to the seco...
Problem Analysis:
Let's assume the three numbers as a, b, and c.

Step 1: Analyzing the given information:
- The sum of the three numbers is 98. So, we can write the equation as a + b + c = 98.
- The ratio of the first number to the second number is given as 2:3. So, we can write the equation as a/b = 2/3.
- The ratio of the second number to the third number is given as 5:8. So, we can write the equation as b/c = 5/8.

Step 2: Solving the equations:
- From the equation a/b = 2/3, we can find a in terms of b by cross-multiplication: a = (2/3)b.
- From the equation b/c = 5/8, we can find c in terms of b by cross-multiplication: c = (8/5)b.

Step 3: Substituting the values in the sum equation:
Substituting the values of a and c in terms of b in the sum equation, we get:
(2/3)b + b + (8/5)b = 98

Step 4: Solving the equation:
To solve the equation, we need to get rid of the fractions. So, we can multiply the entire equation by the least common multiple (LCM) of 3, 5, and 8, which is 120. Multiplying the equation by 120, we get:
(2/3)(120)b + (120)b + (8/5)(120)b = 98(120)

Simplifying the equation, we get:
80b + 120b + 96b = 11760
296b = 11760

Solving for b, we get:
b = 11760/296
b = 39

Step 5: Finding the other numbers:
We can substitute the value of b in the equations to find the values of a and c.
a = (2/3)b = (2/3)(39) = 26
c = (8/5)b = (8/5)(39) = 62.4 (approx.)

Step 6: Final answer:
The second number, b, is 39.
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DIRECTIONS: In each of the following question, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered. The operations of numbers progress from the left to the right.Rules: (i) If an odd number is followed by another composite odd number, they are to be added. (ii) If an even number is followed by an odd number they are to be added. (iii) If an even number is followed by a number which is the perfect square, the even number is to be subtracted from the perfect square. (iv) If an odd number is followed by a prime odd number, the first number is to be divided by' the second number. (v) If an odd number is followed by an even number, the second one is to be subtracted from the first number.If r is the resultant of the first row, what will be the resultant of the second row?

DIRECTIONS:In each of the following question, two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered. The operations of numbers progress from the left to the right.Rules:(i) If an odd number is followed by another composite odd number, they are to be added.(ii) If an even number is followed by an odd number they are to be added.(iii) If an even number is followed by a number which is the perfect square, the even number is to be subtracted from the perfect square.(iv) If an odd number is followed by a prime odd number, the first number is to be divided by the second number.(v) If an odd number is followed by an even number, the second one is to be subtracted from the first number.Q. If r is the resultant of the first row, what will be the resultant of the second row?

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The sum of three numbers is 98 . If the ratio of the first to the second is 2:3 and that of the second to the third 5:8 , then the second number is ?
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The sum of three numbers is 98 . If the ratio of the first to the second is 2:3 and that of the second to the third 5:8 , then the second number is ? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about The sum of three numbers is 98 . If the ratio of the first to the second is 2:3 and that of the second to the third 5:8 , then the second number is ? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three numbers is 98 . If the ratio of the first to the second is 2:3 and that of the second to the third 5:8 , then the second number is ?.
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