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DedPeter [7]
3 years ago
10

the sum of digits of two digit number is 6 when we interchange the digits it is found that the resulting number is greater than

the original number by 18. what is the two digit number? ​
Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

24

Step-by-step explanation:

<u>Original</u><u> </u><u>Number</u><u> </u><u>:</u><u>-</u>

Given that ,

  • Sum of digits is 6 .

Let ,

  • Tens place = x
  • Units place = 6 - x

Number ,

  • 10x + 6 - x = 9x + 6

<u>On </u><u>interchang</u><u>i</u><u>ng </u><u>the </u><u>digits </u><u>:</u><u>-</u><u> </u>

  • Tens place = 6-x
  • Units place = x

→ Number = 10( 6-x) + x

→ Number = 60 - 10x + x

→ Number = 60 - 9x

<u>According to Question, </u>

→ 9x + 6 + 18 = 60 - 9x

→ 18x = 60 - 24

→ 18x = 36

→ x = 36/18

→ x = 2

  • N = 9x + 6 = 18+6 = 24

<h3>Hence the required answer is 24.</h3>

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