Question

the sum of the digits of a two digit no.is 6.If 18 is subtracted from the no. , the digits of the no. are interchanged.Find the no.​

Answer 1

Answer: 42

Step-by-step explanation:

Let the two digits of the number be, 10s place digit y and 1s place digit x

The sum of the two digits is 6.

y + x = 6

y = 6 - x…Eq..1

If 18 is subtracted from the number, its digits are interchanged.

The number formed is 10y + x.

(10y + x) - 18 = (10x + y)

10y + x - 18 = 10 x + y

10y - y - 10x + x = 18

9y - 9x = 18

9 (y - x) = 18

y - x = 2.. Eq..2

Now putting the value of y from Eq..1 to Eq..2

y - x = 2

6 - x - x = 2

6 - 2x = 2

—2x = 2 - 6

—2x = - 4

x = 4/2

x = 2

1s digit is 2

Now putting the value of x in Eq..1 to derive value of y

y = 6 - x

y = 6 - 2

y = 4

10s digit is 4

Hence the number is 42

Answer : the number is 42

Let us check the correctness of answer by substracting 18 from the derived number

42 - 18 = 24

The digits of the number have been interchanged,

thus the answer is correct

HOPE THIS HELPS.......

Answer 2

Answer:

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