If you reverse the digits of my mother's age, you get my father's age. And the sum of their ages is 11 times the difference between their ages. If my mother is younger than my father, how old is she?Jai drives from city A to city B at an average speed of 90kmph. As soon as he reaches, he turns around and comes back to city A, but this time at an average speed of 30kmph. What is is average speed in kmph for the whole journey? Round off your answer to the nearest whole number. If you think there isnt sufficient data to answer this question, then put 0 as your answer
Answers
Step-by-step explanation:
Simple rules to be remembered.
If a two digit number is added to a number obtained by reversing the digits, result is always divisible by 11.
If a two digit number is subtracted from a number obtained by reversing the digits, result is always divisible by 9.
Having this small understanding out of the way, we have :
Jack + John = 11k
Jack - John = 9m
Given 9m = 1/11 (11k)
=> 9m = k
=> Jack + John = 99m & Jack - John = 9m
=> 2 x Jack = 108
=> Jack = 108/2 = 54
=> John = 45
:-)
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Let John's age be X and Jack's be Y, Y > X
Y - X = (Y + X)/11
=> 11Y - 11X -Y - X = 0
=> 10Y - 12X = 0
=> Y = 1.2X, X > 10, X and Y are natural numbers.
X =15 => Y = 18 (revers of 15 is 51 not 18)
X = 25 => Y = 30 (does not satisfy the condition)
X = 35 => Y = 42 ( does not satisfy)
X = 45 => Y = 54 (satisfys the condition)
John's age is 45.
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jack’s age 54, john’s age is 45.
54+45=99;
99*1/11=9;
54–45=9;
I think John is 45, which makes jack 54, 9 years older, 54 + 45 =99. 1/11 of 99 = 9
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