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Assume these matchsticks as fishes. Can you flip the positions of the fishes horizontally i.e. 1 at the leftmost position and 4 at the rightmost position. Condition is that you can move only 3 matchsticks.
That's how it can be done!
Recently I attended the twelfth wedding anniversary celebrations of my
good friends Mohini and Jayant. Beaming with pride Jayant looked at his
wife and commented, ‘At the time we were married Mohini was 3/4 of my
age, but now she is only 5/6 th.
We began to wonder how old the couple must have been each at the time of their marriage!
Can you figure it out?
Know their ages!
What was the puzzle?
Let 'x' be the age of the Jayant & 'y' be the age of Mohini 12 years ago.
So 12 years ago,
y = (3/4) x .........(1)
And now 12 years later, the proportion is -
y + 12 = (5/6) (x+12)
Putting (1) in above,
(3/4) x + 12 = (5/6) x + 10
(1/12) x = 2
x = 24
Again putting this value in (1),
y = (3/4) 24 = 18
So, the age of Jayant was 24 and that of Mohini was 18 at the time of marriage. And now after 12 years, they are 36 and 30 years old respectively.