Question

please send the answer fast with full process explain
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Answer 1

Answer:

$\text{Let tens digits of the required number be x and the units digit be y } \\\\ \text{So,} \ x+y=12--------(i) \\\\ \text{Required Number}= (10x+y) \\\\ \text{Number obtained by reversing the digits}= (10y+x) \\\\ \text{ATQ}, \\\\ (10x+y)-18=(10y+x) \\\\ (10x+y)-(10y+x)=18 \\\\ 10x+y-10y-x=18 \\\\ 9x-9y=18 \\\\ 9(x-y)=18 \\\\ x-y=2------(ii) \\\\ \text{On adding eq.1 and eq.2 we get,} \\\\ 2x=14 \\\\ x=7 \\\\ \text{We know.} \ x-y=2 \\\\ \text{Substituting x with 7,} \\\\ 7-y=2 \\\\ y=5$

$\text{Therefore, the required number is} \ \bold{75}$

$@rohangupta0424$