Question

The sum of the digits of two digit number is 12 if the digits are reversed the new number decreased by 36 find the number

Answer 1

Answer:

number is 84

Step-by-step explanation:

let both digit be x & y

x + y = 12   (sum is 12)

x = 12 - y                     .................(eq. 1)

now

old digit = 10x + y

new digit = 10y + x

and

old = 36 + new

10x + y = 36 + 10y + x

and putting (eq. 1)  we get

10(12-y) + y = 36 + 10y + 12-y

120-10y+y=36+10y+12-y

120-36-12 = 10y-y+10y-y

72 = 18y

y = 4

and

x = 12-y

x = 12-4

x = 8

so the number is 84

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Answer 2

Answer:

Here is the answer

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