the sum of the digits of a two digit number is 10. if 18 be subtracted from it the digits in the resulting number will be equal. the number is?
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Answer:
The number is 73
Step-by-step explanation:
Let the number be 10x + y
Given x + y = 10 ,
10x + y - 18 = A two digit number whose digits are equal
10x + y = A two digit number + 18
Consider, 11 + 18 = 29 = 2 + 9 = 11
22 + 18 = 40 = 4 + 0 = 4
33 + 18 = 51 = 5 + 1 = 6
44 + 18 = 62 = 6 + 2 = 8
55 + 18 = 73 = 7 + 3 = 10 ✓
Hence, the two digit number is 73
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