asked 45.6k views
4 votes
digit at tens place of two digit number is twice the digit at units place .if sum of this number and the no.formed by reversing the digit is 66,. find the number

1 Answer

5 votes
Let the number be xy ,

xy = 10x + y. when reversed = yx = 10y + x

x = 2y ........(a)

10x + y + 10y + x = 66.........(b)

10(2y) + y + 10y + 2y = 66

20y + y + 10y + 2y = 66

33y = 66

y = 66/33

y = 2

x = 2y = 2*2 = 4

Recall the original number is xy = 42.
answered
User Prakash Raman
by
9.2k points
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