Ritus mother is four times as old as ritu . After five years, her mother will be three times as old as she will be then. What are their present ages.
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Let the age of Ritu be x
and let the age of ritu's mother be 4x years
After 5 years-
Ritu' age = x + 5 year
Ritu's mother age 4x + 5 years
ATQ -
3( x + 5 ) = 4x + 5
3x + 15 = 4x + 5
By the method of transposing -
15 - 5 = 4x - 3x
x = 10
Therefore, Present age of ritu is x = 10 years and present age of ritu's mother is 4x = 40 years.
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Answered by
21
Ritu's Age = 10 years
Mother's Age = 40 years
Given :
- Ritu's Mother is 4 times as old as Ritu
- After 5 years, her mother will be 3 times as old as Ritu.
To find :
- Their Present Ages.
SOLUTION :
Let :
- Ritu's Age be x
- Her Mother's Age be 4x
After Five Years :
- Ritu's Age = x + 5
- Mother's Age = 4x + 5
According To Question :
3 ( x + 5 ) = 4x + 5
3x + 15 = 4x + 5
4x – 3x = 15 – 5
x = 10
Hence,
- Ritu's Age = x = 10 years
- Mother's Age = 4x = 4×10 = 40 years
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