The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages
Solution:
Let the common ratio between their ages be x.
Therefore, Hari’s age and Harry’s age will be 5x years and 7x years respectively
Four years later, their ages will be (5x + 4) years and (7x + 4) years respectively
Let's form a linear equation for the given problem statement.
According to the situation given in the question,
(5x + 4) / (7x + 4) = 3/4
4(5x + 4) = 3(7x + 4)
20x + 16 = 21x + 12
16 -12 = 21x - 20x
x = 4
This gives us 5x = 20, and 7x = 28
Thus, Hari's present age is 20 years, and Harry's present age is 28 years.
☛ Check: Class 8 Maths NCERT Solutions Chapter 2
Video Solution:
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages
NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.6 Question 6
Summary:
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. The present ages of Hari and Harry are 20 and 28 years old respectively.
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