Ali is younger than Zia by 10 years. If 5 years back their ages were in the ratio 1:2, how old is Zia?
- 25 years
- 20 years
- 15 years
- None
Explanation
Let's break this down step by step:
- Let Ali's current age be A and Zia's current age be Z.
- Since Ali is younger than Zia by 10 years, we can write an equation: A = Z - 10
- We know that 5 years back, their ages were in the ratio 1:2. So, we can set up another equation based on their ages 5 years back: (A-5)/(Z-5) = 1/2
- Cross-multiply and simplify the equation: 2A - 10 = Z - 5
- Substitute the expression for A from step 2 into the equation in step 4: 2(Z-10) - 10 = Z - 5
- Simplify and solve for Z: 2Z - 20 - 10 = Z - 5 --> Z = 25
So, Zia is currently 25 years old.
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