Ritu married 6 years ago. Today her age is 5/4 times her age at the ti...
R = (5/4)*(R – 6)
R = 30 years and daughter age = 30/5 = 6 years.
After 6 years ratio will be = 36/12 = 3:1
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Ritu married 6 years ago. Today her age is 5/4 times her age at the ti...
R = (5/4)*(R – 6)
R = 30 years and daughter age = 30/5 = 6 years.
After 6 years ratio will be = 36/12 = 3:1
Ritu married 6 years ago. Today her age is 5/4 times her age at the ti...
Let's solve the problem step by step:
Given information:
- Ritu married 6 years ago.
- Today, her age is 5/4 times her age at the time of her marriage.
- Her daughter's age is 1/5 of her age.
To find:
- The ratio of Ritu's age to her daughter's age after 6 years.
Step 1: Determine Ritu's age at the time of her marriage.
Let's assume Ritu's age at the time of her marriage was x years.
Step 2: Determine Ritu's current age.
According to the given information, Ritu's current age is 5/4 times her age at the time of her marriage.
So, Ritu's current age = (5/4) * x = (5x/4) years.
Step 3: Determine Ritu's daughter's age.
According to the given information, Ritu's daughter's age is 1/5 of Ritu's age.
So, Ritu's daughter's age = (1/5) * (5x/4) = (x/4) years.
Step 4: Determine Ritu's age after 6 years.
Ritu's current age after 6 years = (5x/4) + 6 years.
Step 5: Determine Ritu's daughter's age after 6 years.
Ritu's daughter's age after 6 years = (x/4) + 6 years.
Step 6: Calculate the ratio of Ritu's age to her daughter's age after 6 years.
Ratio = (Ritu's age after 6 years) / (Daughter's age after 6 years)
Ratio = [(5x/4) + 6] / [(x/4) + 6]
Simplifying the ratio:
Multiply the numerator and denominator by 4 to get rid of the fractions:
Ratio = [(5x/4) + 6] / [(x/4) + 6]
Ratio = [(5x + 24) / 4] / [(x + 24) / 4]
Ratio = (5x + 24) / (x + 24)
Step 7: Substitute the value of x
Since the value of x is not given in the question, we cannot calculate the exact ratio. However, we can still simplify the ratio further.
Step 8: Simplify the ratio
Ratio = (5x + 24) / (x + 24)
Divide both the numerator and denominator by x:
Ratio = (5 + 24/x) / (1 + 24/x)
As x approaches infinity, the ratio approaches 5/1, which can be simplified to 5:1.
Therefore, the ratio of Ritu's age to her daughter's age after 6 years is 5:1.