Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 13
If $$5^x - 3^y = 13438$$ and $$5^{x - 1} + 3^{y + 1} = 9686$$, then x + y equals
Correct Answer: 13
Solution
$$5^x - 3^y = 13438$$ and $$5^{x - 1} + 3^{y + 1} = 9686$$
$$5^{x} + 3^{y}*15 = 9686*5$$
$$5^{x} + 3^{y}*15 = 48430$$
16*$$3^y$$=34992
$$3^y$$ = 2187
y = 7
$$5^x$$=13438+2187=15625
x=6
x+y = 13
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 35+ CAT previous year papers with video solutions PDF
- 5000+ Topic-wise Previous year CAT Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Linear Equations QuestionsCAT Mensuration QuestionsCAT Time And Work QuestionsCAT Logarithms QuestionsCAT Percentages Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Venn Diagrams QuestionsCAT Puzzles QuestionsCAT Games and Tournamnents QuestionsCAT Data Interpretation QuestionsCAT Truth Lie Concept Questions
