Answer:
The number is 93 .
Step-by-step explanation:
Given as :
Let The two digit number = 10 x + y
<u>The ratio of tens digit to unit digit = 3 :1</u>
I.e =
Or, x = 3 y ...1
Again
<u>If 3 is added to the three times the sum of the digit and the opposite number is formed</u>
The opposite number will be 10 y + x
So, 3 × (x + y) + 3 = 10 y + x
Or, 3 x + 3 y + 3 = 10 y + x
Or, 3 x + 3 y + 3 - 10 y - x = 0
Or, 2 x - 7 y + 3 = 0
Or, 7 y - 2 x = 3 ........2
Now, Solving eq 1 and 2
7 y - 2 × 3 y = 3
Or, 7 y - 6 y = 3
Or, y = 3
Now, put the value of y into eq 1
∵ x = 3 y
So, x = 3 × 3
i.e x = 9
So, The number = 10 x + y
i.e The number = 10 × 9 + 3
Or, The number = 93
Hence, The number is 93 . Answer