a number has two digits whose sum is 9 if 27 is added to the number its digits get interchanged find the number
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Step 1 : Let the units digit be x
Step 2 : Then, ten's digit = (9 - x)∴ Number = 10 x (9 - x) + x⇒ 90 - 10x + x = (90 - 9x)
Step 3 : Adding 27 to the number 90 - 9x, we get 117 - 9x
Step 4 : Number with digits interchanged is 10x + (9 - x) = 9x + 9
Step 5 : 117 - 9x = 9x + 9
Step 6 : Therefore unit's digit = 6 and ten's digit = 3
Step 7 : Hence the number = 36.
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4
Answer:
36...
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