Question

The one digit of a two digit number is thrice the ten digit.If the digit are interchanged, the new number become 1o more than twice the old number. Find the number.

Answer 1

Answer:

26

Step-by-step explanation:

Let ten's digit be x.

Hence, one's digit be 3x.

Number is:

10*x + 3x= 10x + 3x

              = 13x

By reversing number:

10*3x + x= 30x + x

              = 31x

31x = 10 + 2*13x

31x = 10 + 26x

31x - 26x = 10

5x = 10

x = 10/5

x = 2

3x = 2*3 = 6

Number is 26.

Answer 2

Answer:

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so here we go

Step-by-step explanation:

let the two digit number number be 10x+y

wherein digit at tens place is x and that of

ones is y

so according to first condition

y=3x (1)

according to second criterion

10y+x=10+2(10x+y)

ie 10y+x=10+20x+2y

so 19x-8y=-10 (2)

substitute value of y from (1) in (2)

we get

19x-24x=-10

so -5x=-10

ie x=2

so substitute value of x in any of two equations

we get y=6

so our required two digit number was

10x+y

=(10×2)+6

=20+6

=26

hence required two digit number is 26