Question

.
In a two digit number, the digit at unit's place is equal
to the square of the digit at ten's place. If 54 is added
to the number, the digits get interchanged. Find the
number.​

Answer 1

Answer:

Step-by-step explanation:

Let the digits be x,y

In place value it become

10x+y

If 54 is added it is reversed

10x+y +54 = 10y+x

54 = 9y - 9x

54 = 9(y - x)

y - x = 6

y = x^2 (according to the question)

x^2 = 6 + x

Now the sjngle digit square greater than 6 is 9

9= 6+x

x = 3

y=x^2

y=3

x,y = 3,9

The number us 39

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