density than water. Which buoklet weighs more? W
7. The sum of the two digits of a number is 11. If you subtract 27 from the
number, the digits are reversed. What is the number?
Answers
Answer:
7. Let the two digits in a number be x and y. Let x be in 10s place and y in single place of this number.
As per statement, the sum of two digits of the number is 11, means
x + y=11
x = 11 - y …Eq. 1
When, 27 is added to the number, then the digits change their places. As such the number can be written as (10x + y)
(10x+y) + 27 = (10y + x)
On solving the equation
10x + y + 27 = 10y + x
10x - x - 10y + y = - 27
9x - 9y = - 27
9 (x - y) = -27
x - y = - 3…Eq..2
Putting the value of x from Eq..1 to Eq..2
x - y = - 3
(11 - y) - y = - 3
11 - y - y = - 3
11 - 2y = - 3
—2y = - 3 - 11
--2y = - 14
y = 14 / 2
y = 7
Putting the value of y in Eq..1
x = 11 - y
x = 11 - 7
x = 4
Since x is at 10s place, as such the number is 47
Answer the number is 47
Now check the correctness of answer by taking sum of two digits
x + y = 11
4 + 7 = 11
11 = 11
Means answer is correct
Answer:
61
Explanation:
because 27-11=16 if you reversed it would be 61