Math, asked by aastha6415, 1 year ago

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.

Answers

Answered by annusharma48
4
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Answered by sadikalisait
0

Answer:


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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