The ages of Manvi and Sai are in ralio 35. live difference of d their was w ages he years, find their present ages! the years ago
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Appropriate Question
- The ages of Manvi and Sai are in the ratio 3:5. Five years ago the difference of their age was 4 years. Find their present ages
Answer :
- Present age of manvi = 6 years
- Present age of Sai = 10 years.
Given :
- The ages of Manvi and Sai are in the ratio 3:5. Five years ago the difference of their age was 4 years.
To find :
- Present ages
Solution :
Given,
The ages of manvi and Sai are in the ratio 3 : 5 so,
- Let the age of manvi be 3x
- Let the age of Sai be 5x
And also Given that,
Five years ago the difference of their age was 4 years so,
- Manvi age be 3x + 5
- Sai age be 5x + 5
- (3x + 5) - (5x + 5) = 4
Substituting the value :
↝ (3x + 5) - (5x + 5) = 4
↝ 3x + 5 - 5x + 5 = 4
↝ 2x = 4
↝ x = 4/2
↝ x = 2.
Finding the present ages :
↝ Manvi age = 3x = 3(2) = 6 years
↝ Sai age = 5x = 5(2) = 10 Years
Hence,
- Present age of manvi = 6 years
- Present age of Sai = 10 years.
Verification :
↝ (3x + 5) - (5x + 5) = 4
↝ (3(2) + 5) - (5(2) + 5) = 4
↝ 6 + 5 - 10 + 5 = 4
↝ 4 = 4
Hence, Verified
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