Showing posts with label A Problem of Age. Show all posts
Showing posts with label A Problem of Age. Show all posts

Thursday, 1 January 2015

A problem of Age



       Today was Lakshmi’s birthday. She turned 24. Lakshmi is twice as old as ramu was when Lakshmi was as old as ramu now. How old is ramu now?

Answer:    Ramu is 18 years old.

24 – x years ago lakshmi was x years old and now she is 24.
24- x years ago Ramu was x- (24 – x) years old.
Today he is x years old.
24 = 2(2x – 24)
X=8

Tuesday, 9 December 2014

A problem of Age




                         Recently I attended a cocktail party. There was a beautiful young woman, who also seemed very witty and intelligent. One of the other guests suddenly popped a question at her “How old are you?” For a moment she looked a bit embarrassed and while I stood there wondering how she was going to wriggle out of the situation, she flashed a charming smile and answered, “ My age three years hence multiplied by 3 and form that subtracted three times my age three years ago will give you my exact age’.

            The man who had asked her the age just walked away puzzled. Then she leaned over and whispered to me” if he can calculate that one, he deserves to know my age”.

            How old do you think she was?

Answer:   This problem can be solved only by application of algebra. Supposing we take X for the years, the age three years hence will be X+3 and the age three years ago X-3.

                Now we have the equation 3 (X+3) -3 (X-3) = X When we solve this, we obtain: 18. The girl is 18 years old.

              To check this: Three years hence she will be 21 and three years ago she was 15.

              And the difference is: (3×21) – (3 ×15) =63-45 =18


Thursday, 4 December 2014

A Problem of Age



             Recently I met a woman I hadn’t seen for a long time. In the course of conversation she said, ‘Do you know something funny? If you reverse my own age, the figures represent my husband‘s age. He is of course, senior to me and the difference between our ages is one- eleventh of their sum.

            Can you find out the woman’s age as well as her husband’s age?

Answer:    The woman’s age is 45 years and her husband’s 54.
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