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hram777 [196]
3 years ago
7

The ones digit of a number is 3 times the tens digit. If the digits are reversed, the new number is 18 more than the original nu

mber. Find the original number.
Mathematics
2 answers:
tangare [24]3 years ago
5 0

Answer:

<em>Hence the original number is 13</em>.

Step-by-step explanation:

Let us consider the ten's digit to be x.

so the one's digit will be 3x( as it was given the one's digit of a number is 3 times the ten's digit ).

so the number could be represented as <u>x </u> <u>3x</u>   or it can also be represented as:  10x+3x=13x

after reversing the number the number becomes: <u>3x</u> <u> x</u>

or it can also be represented as: 3x×10+x=30x+x=31x

now the new number is 18 more than the original number, that means:

31x=13x=18

18x=18

x=1

Hence the original number is 13.

and the reversed number is 31.

Alekssandra [29.7K]3 years ago
3 0

Answer:

Original number = 31

Step-by-step explanation:

Given : The ones digit of a number is 3 times the tens digit. If the digits are reversed, the new number is 18 more than the original number.

To find : The original number.

Solution : Let x = 10's digit and y= unit digit

Then the original number = 10x+y

Situation 1 - 'The ones digit of a number is 3 times the tens digit'.\Rightarrow y=3x

Situation 2- 'If the digits are reversed, the new number is 18 more than the original number'.

\Rightarrow 10y+x=10x+y+18

Now, we solve the situation 2,

10y+x=10x+y+18

9y-9x=18

9(y-x)=18

y-x=2

Put value of y from situation 1, y=3x

3x-x=2

2x=2

x=1

Put back in situation 1,

y=3x\Rightarrow y=3(1)=3

Therefore, x=1 and y=3 so, the number is 30+1=31

Original number = 31



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