Kate has the following information about her age in the current year (2022):
1. She is 30 years younger than her mother.
2. Her sister Rachel who was born in 1982, is 35 years younger than her mother.
Find Kate's age.
A
45 years
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B
55 years
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C
50 years
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D
35 years
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Solution
The correct option is A 45 years Rachel's year of birth = 1982
So, her present age
= 2022 – 1982 = 40 years
Now, Rachel is 35 years younger than her mother.
So, Rachel's mother's age = 40 + 35
= 75 years
We know that Kate is 30 years younger than her mother.
So, Kate's age = 75 – 30 = 45 years.