Math, asked by SaadSuliman, 1 year ago

five years ago the avarege of A and B was 15 years avarege age of A, B, and C today is 20 years how old will C after 10 years ​

Answers

Answered by rajsingh24
91

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\huge\red\bigstar \red{QUESTION:}

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five years ago the avarege of A and B was 15 years avarege age of A, B, and C today is 20 years how old will C after 10 years .

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\huge\green\bigstar \red{ANSWER:}

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•present age of A & B are a & b.

5 years before their age = \pink{a-5} & \pink{b-5} .

• so average age was 15.

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So,  \\  \frac{(a - 5) + (b - 5)}{2}  = 15 \\ .°. \: a + b \:  = 30 + 10 \\ .°. \: \red{a + b \:  = 40 \: ..........(1)} \\

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NOW, average age of a, b & c is 20.

.°. \:  \frac{a + b + c}{3}  = 20 \\ .°.\green{a + b + c = 60 \: ........(2)}

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From, equation \red{1} & \green{2}

(a+b+c) - (a+b)=60-40

\implies \cancel{(a+b}+c) - \cancel{(a+b}) =20

.°. \implies \pink{c =20}

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\huge\red\bigstar \purple{HENCE}

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\implies .°. Age of c after 10 year age is C =\pink{(20+10)}=\green{30year.}

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Answered by king2497
3

Step-by-step explanation:

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fuc you.

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