Math, asked by safi87jake, 1 year 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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