1. In a two-digit number, the units digit is 3 more than the ten's digit. The sum of the
digits is 18 less than the original number. Find the product of the digits.
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Answer:
Product of the digits is 10
Step-by-step explanation:
Let the digit at ten's place be x
Then the digit at unit's place = x + 3
Number = 10(x) + (x + 3) = 11x + 3
Given that sum of digits is 18 less than the original number
We have
x + (x + 3) = (11x + 3) - 18
2x + 3 = 11x + 3 - 18
11x - 2x = 18
9x = 18
x = 2
Thus, Digit at ten's place = 2
Digit at unit's place = 2 + 3 = 5
Product of digits = 2 × 5 = 10
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