the sum of the two digits no. is 15. If the no. formed by reversing the digits is less than the origina no. bu 27. find the original no.
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Step-by-step explanation:
let first digit be x
second be y
when writing as a two digit number we write it like
10x + y
given
10y + x = 10x + y - 27 \\ 10y + x - 10x - y = 27 \\ 9y - 9x = 27 \\ 9(y - x) = 27 \\ y - x = 27 \div 9 \\ y - x = 3
now
x + y = 15 \\ y - x = 3 \\ x + y + y - x = 15 + 3 \\ 2y = 18 \\ y = 18 \div 2 \\ y = 9
now
x + y = 15 \\ x + 9 = 15 \\ x = 15 - 9 \\ x = 6
so number is
10x + y = 10 \times 6 + 9 \\ = 69
69 is the number
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