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
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
HOPE THIS COULD HELP!!!
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
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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,