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The sum of the digits in a two-digit number is 16. If 18 is added to the number, the digits get interchanged. Find the original number.1. 972. 883. 794. 69 |
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Answer» Correct Answer - Option 3 : 79 Given: Sum of digits of number is 16 Concept used: When digits of a number gets interchanged, the unit place becomes the tens place and vice versa Calculation: Let the original number be (10x + y) Now, A/Q ⇒ 10x + y + 18 = 10y + x ⇒ 9y – 9x = 18 ⇒ y – x = 2 ----(1) And x + y = 16 ----(2) Adding equation(1) and (2) ⇒ 2y = 18 ⇒ y = 9 From equation (1) ⇒ x = 7 ∴ The original number is 79 |
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