Math, asked by rekha46769, 6 months ago

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.

Answers

Answered by PraptiMishra05
11

\huge\mathcal\color{teal} Answer :-

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 PerfectOnBrainly
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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