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One-third of a 2 digit number exceeds its one-fifth by 8.What is the 2 digit number ?
- a)80
- b)73
- c)45
- d)60
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
One-third of a 2 digit number exceeds its one-fifth by 8.What is the 2...
1/3(10x+y) -1/5(10x+y) = 8
(10x+y)[5/15 – 3/15] = 8
10x+y = 8*15/2 = 60
(10x+y)[5/15 – 3/15] = 8
10x+y = 8*15/2 = 60
Most Upvoted Answer
One-third of a 2 digit number exceeds its one-fifth by 8.What is the 2...
1/3(10x+y) -1/5(10x+y) = 8
(10x+y)[5/15 – 3/15] = 8
10x+y = 8*15/2 = 60
(10x+y)[5/15 – 3/15] = 8
10x+y = 8*15/2 = 60
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One-third of a 2 digit number exceeds its one-fifth by 8.What is the 2...
Given: One-third of a 2 digit number exceeds its one-fifth by 8.
Let's assume the 2 digit number to be 'xy'.
Therefore, the number can be represented as 10x + y.
According to the given condition,
1/3 * (10x + y) - 1/5 * (10x + y) = 8
Simplifying the above equation, we get
(50x + 5y - 30x - 3y)/15 = 8
20x + 2y - 40 = 0
10x + y - 20 = 0
y = 20 - 10x
From the above equation, we can see that the value of y will be a single digit number only when x = 2.
So, y = 20 - 10(2) = 0
Therefore, the 2 digit number is 20.
Hence, the correct option is (D) 60.
Let's assume the 2 digit number to be 'xy'.
Therefore, the number can be represented as 10x + y.
According to the given condition,
1/3 * (10x + y) - 1/5 * (10x + y) = 8
Simplifying the above equation, we get
(50x + 5y - 30x - 3y)/15 = 8
20x + 2y - 40 = 0
10x + y - 20 = 0
y = 20 - 10x
From the above equation, we can see that the value of y will be a single digit number only when x = 2.
So, y = 20 - 10(2) = 0
Therefore, the 2 digit number is 20.
Hence, the correct option is (D) 60.
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