Ali is younger than Zia by 10 years. If 5 years back their ages were in the ratio 1:2, how old is Zia?
Answer: 25 years
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.
This question appeared in
Past Papers (4 times)
ASF Inspector Past Papers (1 times)
FPSC 5 Years Past Papers Subject Wise (Solved With Details) (2 times)
FPSC Past Papers (1 times)
This question appeared in
Subjects (1 times)
MATHS MCQS (1 times)
Related MCQs
- Rimsha is 6 years older than her younger sister. After ten years, the sum of their ages will be 50 years. Find their present ages.
- Najma is 6 years older than her younger sister. After 10 years, the sum of their ages will be 50 years. How do you find their present ages?
- Ages of the two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages.
- The ratio of ages of two students is 3 : 2. One is older than the other by 5 years. What is the age of the younger student?
- Fareeha is 4 years older than her younger sister. After 10 years, the sum of theirs ages will be 48 years. Find the present age of Fareeha?
- Madiha is n years old. Samee is 6 years younger than Madiha and 2 years older than Javid. What is the sum of the ages of all the three?
- Latif is younger than Saleem by 7 years. If their ages are in the respective ratio of 7 : 9. How old is Latif?
- The sum of the ages of the father and his son is 100 years now 5 years ago their ages were in the ratio of 2:1. The ratio of the ages of the father and son after 10 years will be ____?
- John is 4 years older than David and Joe is 2 years younger than David. If the sum of their ages is 41, how old will John be in 8 years ' time?
- The age of Ashraf is 15 years, 10 months and the age of Akmal is 17 years, 5 months. Find the ratio between their ages?