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ycow [4]
3 years ago
6

The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original

number, we get 143. What can be the original number?
Mathematics
2 answers:
Zanzabum3 years ago
6 0

Answer:

The original number could be 85.

Step-by-step explanation:

Let the 2 digits be x and y.

Let the number be xy then, assuming that x is the larger digit:

x - y = 3.

x = y + 3

Also

10y + x + 10x + y = 143

Substituting for x:

10y + y + 3 + 10(y + 3) + y = 143

22y + 33 = 143

22y = 110

y = 5.

So x = y + 3 = 8.

marin [14]3 years ago
3 0

Answer:

  • Let the unit digit be x and tens digit be x + 3

  • Therefore, the original number = 10(x + 3) + x

  • On interchanging, the number formed = 10x + x + 3

<h3><u>❍ According to Question now,</u></h3>

➥ 10(x + 3) + x + 10x + x + 3 = 143

➥ 10x + 30 + 12x + 3 = 143

➥ 22x + 33 = 143

➥ 22x = 143 - 33

➥ 22x = 110

➥ x = 110/22

➥ x = 5

<h2>__________________...</h2>

<h3>Therefore,</h3>

The unit digit number = x = 5

The tens digit number = x + 3 = 5 + 3 = 8

<h2>__________________...</h2>

The original number = 10(x + 3) + x

The original number = 10(5 + 3) + 5

The original number = 50 + 30 + 5

The original number = 85

Hence<u>,the original number is 85.</u>

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