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A number consists of two digits. The digits in the ten’s place is 3 times the digit in the unit’s place. If 54 is subtracted from the number the digits are reversed. The number is
- a)39
- b)92
- c)93
- d)94
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A number consists of two digits. The digits in the ten’s place i...
Let the digit at Tens place be x
The digit at unit place be y
The Number is 10x + y
ACCORDING TO THE QUESTION :-
x = 3y ... eq. 01
According to the second condition :
10x + y - 54 = 10y + x
=> 9x - 9y = 54
=> 9(x - y) = 9 × 6
=> x - y = 6 ... eq.02
Now we can solve the Equation 01 and 02 by substitution Method :-
x - y = 6
=> 3y - y = 6 [ from eq.01 , x = 3y ]
=> 2y = 6
=> y = 3
Now we can substitute the value of y in eq. 01 to get value of x
x = 3y
=> x = 3 × 3
=> x = 9
Hence the number is
Hence the number is 10x + y = 90 + 3 = 93 (ANS)
Most Upvoted Answer
A number consists of two digits. The digits in the ten’s place i...
Given Information:
- The number consists of two digits.
- The digit in the tens place is 3 times the digit in the units place.
- When 54 is subtracted from the number, the digits are reversed.
To find: The number
Solution:
Let the number be 10x + y, where x is the digit in the tens place and y is the digit in the units place.
From the given information, we know that:
- x = 3y (since the digit in the tens place is 3 times the digit in the units place)
- 10x + y - 54 = 10y + x (since when 54 is subtracted from the number, the digits are reversed)
Simplifying the second equation, we get:
10x + y - 54 = 10y + x
9x - 9y = 54
x - y = 6
Substituting x = 3y in the above equation, we get:
3y - y = 6
2y = 6
y = 3
Therefore, x = 3y = 9.
Hence, the number is 93, which is option (c).
Final Answer: Option (c) 93
- The number consists of two digits.
- The digit in the tens place is 3 times the digit in the units place.
- When 54 is subtracted from the number, the digits are reversed.
To find: The number
Solution:
Let the number be 10x + y, where x is the digit in the tens place and y is the digit in the units place.
From the given information, we know that:
- x = 3y (since the digit in the tens place is 3 times the digit in the units place)
- 10x + y - 54 = 10y + x (since when 54 is subtracted from the number, the digits are reversed)
Simplifying the second equation, we get:
10x + y - 54 = 10y + x
9x - 9y = 54
x - y = 6
Substituting x = 3y in the above equation, we get:
3y - y = 6
2y = 6
y = 3
Therefore, x = 3y = 9.
Hence, the number is 93, which is option (c).
Final Answer: Option (c) 93
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Community Answer
A number consists of two digits. The digits in the ten’s place i...
Let the two digit number = 10x + y:"the ten's place is 3 times the digit in the unit place"x = 3y:"if 54 is subtracted from the number the digits are reversed."10x + y - 54 = 10y + x10x - x = 10y - y + 549x = 9y + 54simplify, divide by 9x = y + 6Replace x with 3y3y = y + 63y - y = 62y = 6y = 3thenx = 3(3)x = 9:93 is the number:Or if u go by logic
Check solution in the statement:"if 54 is subtracted from the number the digits are reversed."93 - 54 = 39
Check solution in the statement:"if 54 is subtracted from the number the digits are reversed."93 - 54 = 39
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A number consists of two digits. The digits in the ten’s place is 3 times the digit in the unit’s place. If 54 is subtracted from the number the digits are reversed. The number isa)39b)92c)93d)94Correct answer is option 'C'. Can you explain this answer?
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A number consists of two digits. The digits in the ten’s place is 3 times the digit in the unit’s place. If 54 is subtracted from the number the digits are reversed. The number isa)39b)92c)93d)94Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A number consists of two digits. The digits in the ten’s place is 3 times the digit in the unit’s place. If 54 is subtracted from the number the digits are reversed. The number isa)39b)92c)93d)94Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of two digits. The digits in the ten’s place is 3 times the digit in the unit’s place. If 54 is subtracted from the number the digits are reversed. The number isa)39b)92c)93d)94Correct answer is option 'C'. Can you explain this answer?.
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