Math, asked by tahannus7720, 1 year ago

He is two years older than b who is twice as old as c if total of the ages of a b and c be 27 how old is b

Answers

Answered by BrainlyPrincess
2
✿ Question :- A is two years older than B who is twice as old as C. If the total of the ages od A, B and C is 27 years, how old is B?


✿ Answer :-

Let the present age of C be x years

B is twice as old as C. So let the age of B be 2x years

A is 2 years older than B. So let A's age be 2x + 2 years

Given, the sum of their ages is 27 years


According to the question,

A + B + C = 27

➾ 2x + 2 + 2x + x = 27

➾ 5x + 2 = 27

➾ 5x = 27 - 2

➾ 5x = 25

➾ x = \dfrac{25}{5}

➾ x = 5


∴ Age of A ➾ 2x + 2

➾ 2 × 5 + 2

➾ 10 + 2

\green{\boxed{\green{\boxed{\red{\textsf{12\:years}}}}}}


∴ Age of B ➾ 2x

➾ 2 × 10

\green{\boxed{\green{\boxed{\red{\textsf{10\:years}}}}}}


∴ Age of C ➾ x

\green{\boxed{\green{\boxed{\red{\textsf{10\:years}}}}}}
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