Question

answer with explanation please answer faster​

Answer 1

Answer:

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Step-by-step explanation:

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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.