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The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?
- a)15
- b)51
- c)24
- d)42
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The sum of the digits of a two-digit number is 6. If the digits are re...
a + b = 6
(10a + b) – (10b +a) = 36, a – b = 4
We get a = 5 and b = 1
So number is 51
(10a + b) – (10b +a) = 36, a – b = 4
We get a = 5 and b = 1
So number is 51
Most Upvoted Answer
The sum of the digits of a two-digit number is 6. If the digits are re...
Solution:
Let the tens digit be x and the units digit be y.
Given, x+y=6
Also, on reversing the digits, the new number becomes 10y + x, which is 36 less than the original number.
Therefore, the equation becomes 10x + y = 10y + x - 36
Simplifying this equation, we get 9x - 9y = 36
Dividing both sides by 9, we get x - y = 4
Now we have two equations with two variables, which can be solved simultaneously to obtain the values of x and y.
x + y = 6
x - y = 4
Adding both the equations, we get:
2x = 10
x = 5
Substituting the value of x in any one of the equations, we get:
y = 1
Therefore, the required number is 51, which is option B.
Let the tens digit be x and the units digit be y.
Given, x+y=6
Also, on reversing the digits, the new number becomes 10y + x, which is 36 less than the original number.
Therefore, the equation becomes 10x + y = 10y + x - 36
Simplifying this equation, we get 9x - 9y = 36
Dividing both sides by 9, we get x - y = 4
Now we have two equations with two variables, which can be solved simultaneously to obtain the values of x and y.
x + y = 6
x - y = 4
Adding both the equations, we get:
2x = 10
x = 5
Substituting the value of x in any one of the equations, we get:
y = 1
Therefore, the required number is 51, which is option B.
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Community Answer
The sum of the digits of a two-digit number is 6. If the digits are re...
a + b = 6
(10a + b) – (10b +a) = 36, a – b = 4
We get a = 5 and b = 1
So number is 51
(10a + b) – (10b +a) = 36, a – b = 4
We get a = 5 and b = 1
So number is 51
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The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?a)15b)51c)24d)42e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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