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hii
I know this is your school test
but, don't very....
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i don't know ans but,,,
1 example...
Let the two-digit be x and y .
Two-digit number =10x+y.
Two-digit number formed by interchanging the digits=10y+x
∴(10x+y)+(10y+x)=66⇒x+y=6⟶(i)
11x+11y=66⇒x−y=2⟶(ii)
Substracting (i) and (ii),
2x=8
⇒x=4
putting x in (i),
4+y=6
y=2
Two-digit number=10x+y=42 or, 10y+x=24
∴ 2 such numbers are possible.
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