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in Algebraic Expressions and Operations on them by (46.9k points)
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Rakesh’s age is less than Sania’s age by 5 years. The sum of their ages is 27 years. How old are they?

1 Answer

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Best answer

Let the age of Rakesh be x years.

∴ Sania’s age = (x + 5) years. 

According to the given condition, 

x + (x + 5) = 27 

∴ 2x + 5 = 27 

∴ 2x = 27 – 5 

∴ 2x = 22 

∴ x = 22/2 = 11

∴ Sania’s age = x + 5 = 11 + 5 = 16 years 

∴ The ages of Rakesh and Sania are 11 years and 16 years respectively.

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