A number consists of two digits. The sum of digits is 13. If we change
the places of digits, the new number is increased by 45. Find the
number.
Answers
Answered by
1
Let the original number by xy
According to the question,
x + y = 13 {equation 1}
yx = xy + 45 {equation 2}
Noting that the value of "xy" is 10x + y
and the value of "yx" is 10y + x we have:
10y + x = 10x + y + 45
working this down
9x - 9y = -45
Thus we have 2 simultaneous equations we can use
to solve the system
x + y = 13
9x - 9y = -45
multiply 1st equation by 9 and add equations
9x + 9y = 117
9x - 9y = -45
---------------
18x = 72
x = 4
Since x + y = 13 and x = 4...
y = 9
Hence the number is 49✅
❣Hope this helps you mate!!✌
Answered by
0
Answer:
ans is 49
Step-by-step explanation:
4+9=13
if the places of digits changed
then,the no. is 94
94-49=45
hence ,the ans is 49
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