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If 2(1/2) is added to a number and the sum multiplied by 4(1/2)and 3 is added to the product and then divide the sum by 1(1/5), the quotient becomes 25 .What is the number ?
  • a)
    5(1/2)
  • b)
    4(1/2)
  • c)
    2(1/2)
  • d)
    3(1/2)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If 2(1/2) is added to a number and the sum multiplied by 4(1/2)and 3 i...
{4(1/2)[X+2(1/2)]+3}/[1(1/5)] = 25
(9X/2)+(45/4)+3 = 25×(6/5)
9X/2 =63/4 X=7/2 or 3(1/2)
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Most Upvoted Answer
If 2(1/2) is added to a number and the sum multiplied by 4(1/2)and 3 i...
Solution:

Let's assume the number to be "x".

Step 1: Add 2(1/2) to the number "x"
=> x + 2(1/2)
=> x + 5/2

Step 2: Multiply the sum obtained in step 1 by 4(1/2)
=> 4(1/2) * (x + 5/2)
=> 9x + 23

Step 3: Add 3 to the product obtained in step 2
=> 9x + 23 + 3
=> 9x + 26

Step 4: Divide the sum obtained in step 3 by 1(1/5)
=> (9x + 26) ÷ (6/5)
=> 15(3x + 8) = 25

Step 5: Solve for x
=> 3x + 8 = 5/3
=> 3x = 5/3 - 8
=> 3x = -19/3
=> x = -19/9

Therefore, the number is 3(1/2). Hence option D is the correct answer.
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If 2(1/2) is added to a number and the sum multiplied by 4(1/2)and 3 is added to the product and then divide the sum by 1(1/5), the quotient becomes 25 .What is the number ?a)5(1/2)b)4(1/2)c)2(1/2)d)3(1/2)Correct answer is option 'D'. Can you explain this answer?
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