Question

A two digit number is such that the sum of its digit is 8.if 54 is subtracted from the number, its digit are reversed find the number

Answer 1

A two digit number is such that the sum of its digit is 8.

the number can be 44

therefore,4+4=8

if 54 is subtracted from the number,then 54-44=10

its digit are reversed,then 01

Answer 2

Hi there!
Here's the answer:


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¶¶¶ SOLUTION :

In a two digit No.,

Let Units digit be x
and Tens digit = (8-x)
{°•° Given that Sum of digits is 8
x + (8-x) = 8}

Two digit No. = (10 × face value of tens' place digit) + (1 × face value of one' s place digit)

=> Original No. = 10(8-x) + x

If the digits are reversed, New No. is formed

=> New No. = 10x + (8-x)


Given that,
Original No. - 54 = New No.
=> Original No. - New No. = 54

=> 10(8-x)+x - [10x+(8-x)] = 54
=> 80-10x+x - 10x -8x+x = 54
=> -26x= 54 -80
=> x = 1

•°• Unit's digit = x = 1
& Tens digit = (8-x) = (8-1) = 7

•°• Original No. = 71


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¶¶¶ VERIFICATION:

No. = 71
• Sum of digits = 8

If digits are reversed,
New No. = 17

Original No.- 54 = New No.
71 - 54 = 17
17 = 17

•°• Given Data Matched

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Hope it helps