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The sum of three numbers is 147. If the ratio between
the first and second is 2 : 3 and that between the sec
ond and the third is 5 : 8, then the second number is?
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Most Upvoted Answer
The sum of three numbers is 147. If the ratio between the first and se...
Understanding the Problem
To find the second number, we must first understand the relationships between the three numbers given in the problem. The sum of the three numbers is 147, and the ratios between the numbers are also provided.

Setting up Equations
Let's denote the first number as 2x, the second number as 3y, and the third number as 8z. According to the ratios given in the problem, we can set up the following equations:
2x + 3y + 8z = 147
y = (3/2)x
z = (8/5)y

Solving the Equations
Substitute the expressions for y and z into the first equation:
2x + 3(3/2)x + 8(8/5)(3/2)x = 147
2x + 9x + 24x = 147
35x = 147
x = 147/35
x = 4.2
Now, find the value of y:
y = (3/2)(4.2)
y = 6.3
Finally, calculate the second number, which is 3y:
Second number = 3(6.3)
Second number = 18.9

Answer
Therefore, the second number is 18.9. By following the given ratios and using the sum of the three numbers, we were able to determine the values of the individual numbers and find the second number.
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There are nine boxes arranged in a 3 × 3 array as shown in Tables 1 and 2. Each box contains three sacks. Each sack has a certain number of coins, between 1 and 9, both inclusive.The average number of coins per sack in the boxes are all distinct integers. The total number of coins in each row is the same. The total number of coins in each column is also the same.Table 1 gives information regarding the median of the numbers of coins in the three sacks in a box for some of the boxes. In Table 2 each box has a number which represents the number of sacks in that box having more than 5 coins. That number is followed by a * if the sacks in that box satisfy exactly one among the following three conditions, and it is followed by ** if two or more of these conditions are satisfied.(i) The minimum among the numbers of coins in the three sacks in the box is 1.(ii) The median of the numbers of coins in the three sacks is 1.(iii) The maximum among the numbers of coins in the three sacks in the box is 9.How many boxes have at least one sack containing 9 coins?

There are nine boxes arranged in a 3 × 3 array as shown in Tables 1 and 2. Each box contains three sacks. Each sack has a certain number of coins, between 1 and 9, both inclusive.The average number of coins per sack in the boxes are all distinct integers. The total number of coins in each row is the same. The total number of coins in each column is also the same.Table 1 gives information regarding the median of the numbers of coins in the three sacks in a box for some of the boxes. In Table 2 each box has a number which represents the number of sacks in that box having more than 5 coins. That number is followed by a * if the sacks in that box satisfy exactly one among the following three conditions, and it is followed by ** if two or more of these conditions are satisfied.(i) The minimum among the numbers of coins in the three sacks in the box is 1.(ii) The median of the numbers of coins in the three sacks is 1.(iii) The maximum among the numbers of coins in the three sacks in the box is 9.In how many boxes do all three sacks contain different numbers of coins? Correct answer is '5'. Can you explain this answer?

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The sum of three numbers is 147. If the ratio between the first and second is 2 : 3 and that between the second and the third is 5 : 8, then the second number is?
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The sum of three numbers is 147. If the ratio between the first and second is 2 : 3 and that between the second and the third is 5 : 8, then the second number is? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The sum of three numbers is 147. If the ratio between the first and second is 2 : 3 and that between the second and the third is 5 : 8, then the second number is? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three numbers is 147. If the ratio between the first and second is 2 : 3 and that between the second and the third is 5 : 8, then the second number is?.
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