Rahul and harron age are on ratio 5:7 Four years later their ags Will be 56 find their present age
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Ratio of present age of Rahul and Harron = 5:7 •••(given)
After 4 years, their ages(sum of ages) = 56years •••(given)
Suppose that, x is the common of ratio.
Thus,
- Present age of Rahul = 5x ••••••eq. 1
- Present age of Harron = 7x •••••eq. 2
After 4 years,
- Age of Rahul = (5x + 4) years. •••••eq. 3
- Age of Harron = (7x + 4) years. •••••eq. 4
Now, According to given question:
eq. 3 + eq. 4 = 56 years
→ (5x +4) + (7x + 4) = 56
→ 5x + 4 + 7x + 4 = 56
→ 12x + 8 = 56
→ 12x = 56-8
→ 12x = 48
→ x = 48/12
→ x = 4
Now,
Put value of x in eq. 1 & eq. 2 to find present age:
- Present age of Rahul = 5x = 5*4 = 20 years.
- Present age of Harron = 7x = 7*4 = 28 years.
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