Math, asked by safi87jake, 10 months ago

7. Shama's age is three times the age of her son Ankit. Ten years ago Shama was five
times the age of Ankit. Find their present ages.​

Answers

Answered by antareepray2
86

Let the age of Ankit be x and Sharma be 3x, then;

3x - 10 = 5(x-10)

or, 3x - 10 = 5x - 50

or, 2x = 40

or, x = 20

Hence, age of Sharma = 60 years

And age if Ankit = 20 years

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Answered by deepsen640
105

QUESTION:

Shama's age is three times the age of her son Ankit. Ten years ago Shama was fivetimes the age of Ankit. Find their present ages.

ANSWER:

age of Ankit = 20 years

age of sharma = 60 years

__________________

Step-by-step explanation:

given that,

Shama's age is three times the age of her son Ankit.

let the age of ankita be x

so,

age of sharma = 3 × x = 3x

also,

given that,

Ten years ago Shama was five

Ten years ago Shama was fivetimes the age of Ankit.

ten years ago

= x - 10 and 3x - 10

Shama was five

Shama was fivetimes the age of Ankit.

so,

ACCORDING TO THE QUESTION

(3x - 10) = 5(x - 10)

by solving the equation,

(3x - 10) = 5(x - 10)

3x - 10 = 5x - 50

3x - 5x = -50 + 10

-2x = -40

x = -40/-2

x = 20

now,,

age of Ankit = x = 20 years

age of sharma = 3x =

3(20) = 60 years

so,

ANSWER:

__________________

age of Ankit = 20 years

__________________

age of sharma = 60 years


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