What is the no. ?
Algebra
Level
pending
A no. consists of two digits whose sum is 11. if 27 is added to the no. , then the digits change their places . what is the no.?
110
83
65
47
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1 solution
Let x be the tens digit
Let y be the ones digit
x+y=11 E1
10x+y+27=10y+x E2
Simplifying E2
x-y=-3 E3
Adding E3 and E1
2x=8
x=4
Substituting x=4 to E3,
y=7
Therefore, the number is 47.