Question

23. A two digit number is such that the product of
the digit is 35, when 18is added to the number,
the digits inter change their places. Find the
number.​

Answer 1

Answer:

35 is the number...

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Answer 2

Answer:

57

Step-by-step explanation:

Let the digits of the two numbers be x (ten's digit) and y (unit digit)

x * y =35 -------1

x = 35/y

10x + y + 18 =x + 10y

9x + 18 = 9y

x - y = -2 ------2

putting 1 in 2

35/y - y = -2

-y² + 2y + 35 =0

by solving the above equation, we get y = 7

x * 7 = 35

x = 5

the number is 57

and by reversing the digits we get 75