A number consists of two digit of which tens digit exceeds the unit digit by 3. The number is ten time sum of it's digit.find the number.
Answers
Answered by
5
Take the tens digit as x and ones digit as y
x=y+3
x-y=3. this is the first equation
second equation is the Number is 10x+y and it is equal to 7(x+y)
10x+y=7x+7y
3x=6y
3x-6y=0
Solve for the both equation
y=3
x=6
no. is 10x+y
63..
Answered by
4
AnswEr:
- Required number will be 30.
Given:
- A number consists of two digit of which tens digit exceeds the unit digit by 3. The number is ten time sum of it's digit.
Need To Find:
- Required number will be = ?
ExPlanation:
Let the ten's digit be x.
And the unit's digit be y.
Therefore:
➠ Number = 10x + y
According to the first statement:
➠ Number = 10 × Sum of digits
➠ 10x + y = 10(x + y)
➠ 10x + y = 10x + 10y
➠ 10x - 10x = 10y - y
➠ 0 = 9y
Now, divide both terms by 9.
➠ y = 0
Hence:
- y = 0
______________________________________
According to the second statement:
➠ Ten's digit = 3 + Unit's digit
➠ x = 3 + y
➠ x = 3 + 0
➠ x = 3
Hence:
- x = 3
ThereFore:
- Required number will be 30.
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