A two digit number and the number with digits interchanged add up to 143. In the given number
the digit in unit’s place is 3 more than the digit in the ten’s place. Find the original number. by linear equation in two variable method
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Here you go......... When u reverse the digits it becomes 10y + x
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Let the number at the unit's place the x and the digit at the ten's place y.
The number is thus 10y + x
After interchanging the digits the number becomes 10 x + y
Given that two digit number and the number with digits are interchanged add up to 143.
So 10y + x + 10 x + y = 143
↝ 11 x + 11 y = 143
↝ x + y = 13.......eq1
Also in the given number the digit in unit's place in 3 more than the digit in the ten's place.
So,
x - y = 3.....eq2
Adding equation 1 and 2 we have
2x = 16
↝ x = 8
Putting the value of x in equation 1 we get
8 + y = 13
↝ y = 13 - 8
↝ y = 5 (ans)
Thus, the number is 58.
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