Vidhi is 10 years elder than Tithi. Tithi is 2 years younger than Swati but 1 year elder than Ekta. Their ages add up to a number which is a multiple of 3 between 121 to 125. Find the present age of each.
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Step-by-step explanation:
Age of Ekta = 28.5 years
Age of Swati = 29.5 years
Age of Tithi = 27.5 years
Age of Vidhi = 37.5 years
Step-by-step explanation:
Let the age of Ekta be x years
Then, according to the question
Age of Swati = x + 1 years
Age of Tithi = x + 1 -2 = x - 1 years
Age of Vidhi = x - 1 + 10 = x + 9
The sum of the ages of Vidhi, Tithi, Swati and Ekta
= x + 9 + x - 1 + x + 1 + x
= 4x + 9
Number which is multiple of 3 bwteen 121 to 125 is 123
Thus
4x + 9 = 123
or, 4x = 114
or, x = 28.5
Thus age of Ekta = 28.5 years
Age of Swati = 29.5 years
Age of Tithi = 27.5 years
Age of Vidhi = 37.5 years
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