1.

1) The digit in the tens place of a two-digit number is three times that in the onesplace. If the digits are reversed, the new number will be 36 less than the originalnumber. Find the number.2) The numerator of a rational number is less than its denominator by 3. If thenumerator becomes three times and the denominator is increased by 20, thenew number becomes . Find the original number.​

Answer»

Step-by-step EXPLANATION:

let the number be 10x + y

so ACCORDING to condition 1

x=3y ___(1)

if digit are reversed then the number formed

10y +x

It is given that difference is 36

10x +y - (10y + x ) = 36

10x + y - 10y - x = 36

9x - 9y = 36

9(x - y) = 36

x - y = 4

3y - y = 4 ( from (1))

2y = 4

y = 2

then from (1)

x = 3y

x = 3 ×2

x = 6

so the ORIGINAL number was 10x + y

= 62

reverse it

26

and

62 - 26 = 36

Hence it is verified also


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