Subject
Quantitative Aptitude
Topic
Number
Unit's digits of a 2 digit number is 5 more than the ten's digit, and if we put the digits of the number in reverse order, the new number is 4 less than twice the original number. The number is :-
Unit's digits of a 2 digit number is 5 more than the ten's digit, and if we put the digits of the number in reverse order, the new number is 4 less than twice the original number. The number is :-
ক)
27খ)
49গ)
72ঘ)
38ঙ)
No such number existsExplanation
Let the digits of the number be a and b. ∴ the number is 10a + b Given Unit's digits of a 2 digit number is 5 more than the ten's digit ∴ b = 5 + a -----[1] On reversing the digits number obtained = 10b + a Now, this number is 41 less than twice the original number ∴ 2(10a + b) – (10b + a) = 4 ⇒ 19a – 8b = 4 -----[2] Putting the value of b = 5 + a from equation [1] in equation [2] ⇒ 19a – 40 – 8a = 4 ⇒ 11a = 44 ⇒ a = 44/11 = 4 ∴ b = 5 + a = 5 + 4 = 9 The original number is 49Related questions
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