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A number consists of two–digits whose sum is 8. If 18 is added to the number its digits are reversed. What is that number?
- a)35
- b)36
- c)53
- d)63
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A number consists of two–digits whose sum is 8. If 18 is added t...
Let the unit’s digit be x.
10’s digit = 8–x.
Number = 10(8–x) + 1×x
= 80 – 10x + x = 80 – 9x
and 80 –9x + 18 = 10 × x + (8–x) 1
⇒ 98 –9x = 10x + 8 –x
⇒ 98 –9x = 9x + 8
Number = 80 – 9×5 = 80 – 45 = 35
10’s digit = 8–x.
Number = 10(8–x) + 1×x
= 80 – 10x + x = 80 – 9x
and 80 –9x + 18 = 10 × x + (8–x) 1
⇒ 98 –9x = 10x + 8 –x
⇒ 98 –9x = 9x + 8
Number = 80 – 9×5 = 80 – 45 = 35
Most Upvoted Answer
A number consists of two–digits whose sum is 8. If 18 is added t...
Digits. The digit in the tens place is 4 times the digit in the ones place. If the digits are reversed, the new number is 54 less than the original number. Find the number.
Let's assume that the digit in the ones place is x. Since the digit in the tens place is 4 times the digit in the ones place, it can be written as 4x.
Therefore, the original number can be written as 10(4x) + x = 40x + x = 41x.
If the digits are reversed, the new number can be written as 10x + 4x = 14x.
According to the problem, the new number is 54 less than the original number, so we can write the equation:
41x - 14x = 54.
Simplifying the equation, we get:
27x = 54.
Dividing both sides by 27, we get:
x = 2.
Therefore, the digit in the ones place is 2, and the digit in the tens place is 4 times 2, which is 8.
So, the number is 82.
Let's assume that the digit in the ones place is x. Since the digit in the tens place is 4 times the digit in the ones place, it can be written as 4x.
Therefore, the original number can be written as 10(4x) + x = 40x + x = 41x.
If the digits are reversed, the new number can be written as 10x + 4x = 14x.
According to the problem, the new number is 54 less than the original number, so we can write the equation:
41x - 14x = 54.
Simplifying the equation, we get:
27x = 54.
Dividing both sides by 27, we get:
x = 2.
Therefore, the digit in the ones place is 2, and the digit in the tens place is 4 times 2, which is 8.
So, the number is 82.
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A number consists of two–digits whose sum is 8. If 18 is added t...
Option A is correct
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A number consists of two–digits whose sum is 8. If 18 is added to the number its digits are reversed. What is that number?a)35b)36c)53d)63Correct answer is option 'A'. Can you explain this answer?
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A number consists of two–digits whose sum is 8. If 18 is added to the number its digits are reversed. What is that number?a)35b)36c)53d)63Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A number consists of two–digits whose sum is 8. If 18 is added to the number its digits are reversed. What is that number?a)35b)36c)53d)63Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of two–digits whose sum is 8. If 18 is added to the number its digits are reversed. What is that number?a)35b)36c)53d)63Correct answer is option 'A'. Can you explain this answer?.
A number consists of two–digits whose sum is 8. If 18 is added to the number its digits are reversed. What is that number?a)35b)36c)53d)63Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A number consists of two–digits whose sum is 8. If 18 is added to the number its digits are reversed. What is that number?a)35b)36c)53d)63Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of two–digits whose sum is 8. If 18 is added to the number its digits are reversed. What is that number?a)35b)36c)53d)63Correct answer is option 'A'. Can you explain this answer?.
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