Math, asked by rahul5214, 1 year ago

the sum of the digits of a two digit number is 12 if the new number formed by reversing the digits is greater than the original number by18, find the original number

Answers

Answered by tanu3199
1
Given sum of the digits is 12 Let the digits in ones place be x Hence the digit in tens place is (12 – x) The original number = 10(12 – x) + x = 120 – 9x Number formed by reversing the digits = 10x + (12 – x)  =  9x + 12 Given that number formed by reversing the digits is 54 greater than the original number. ⇒ 9x + 12 = (120 – 9x) + 54 = 174 – 9x ⇒ 18x = 174 – 12 = 162 ∴ x = 9 The original number = 120 – 9x = 120 – 9(9) = 39

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rahul5214: the distance between two stations is 340km two trains start siultaneously from these stations on parall traks to cross each other the speed of one of them is greater than that of other by5km/hr.if one between the two trains after 2hours of their start is 30km.find the speed of each train
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