A Shopkeeper 4

A Shopkeeper gave a bill to a customer. The bill was in two digits but was mistakenly interchanged thereby undercharging the customer by $45.00.
If the sum of the digits is 9, find the actual value of the bill.

Correct answer:

a =  72 USD

Step-by-step explanation:

y 10+x=(x 10+y)45 x+y=9  9x9y=45 x+y=9  Row291 Row1Row2 9x9y=45 2y=4  y=24=2 x=945+9y=945+9 2=7  x=7 y=2  a=10 x+y=10 7+2=72 USD

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