In two digit numbers the units digit is thrice the tens digit .if 36 is adder to the number ,the digit interchange their place.find the number.
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Answer:
Let say 'x' is digit in one's place so 3x is digit in tens place.
So number is 10.3x+x=31x
Now if interchanging the position of digit new number is 10x+3x=13x
As given now number is less than 54 from old number.
31x−54=13x
⇒31x−13x=54
⇒18x=54
⇒x=54/18
⇒x=3
So, the number is 10.3.3+3=93
∴ The original number is 93.
solution
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Let the ones digit be x
And the tens digit be 10y
The number = x + 10y
ATGC
x = 3*10y
x = 30y___(1)
Also
x + 10y + 36 = 10x + y
Put value of x = 30y
30y + 10 y + 36 = 300y + y
40y + 36 = 301 y
36 = 301y - 40 y
36 = 241 y
Y = 36/241
x = 30 * 36/241
Put values of x and y in
x + 10 y to get the number
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