Anita is 8 years older than Garima. In four years, Anita will be twice as old as what Garima was 3 years ago. Find their present ages.
Answers
The present age of Anita is 26 years and that of Garima is 18 years.
Step-by-step explanation:
Let the present age of Anita be denoted as “x” years and that of Garima be denoted as “y” years.
It is given that Anita is 8 years older than Garima i.e.,
Equation 1: x = 8 + y
Also given, Anita’s age after 4 years will be twice as old as Garima’s age 3 years ago i.e.,
Equation 2:
x + 4 = 2 * (y-3)
substituting the value of x from (i)
⇒ (8+y) + 4 = 2y – 6
⇒ y + 12 = 2y – 6
⇒ 2y – y = 6 + 12
⇒ y = 18 years
Now, substituting the value of y in eq. (i), we get
x = 8 + 18 = 26 years
Thus, the present ages of Anita and Garima is 26 years and 18 years respectively.
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