Question 44
A two digit number increases by 75% when it’s digits get reversed. Find the original number when the difference between the digits of the two-digit number is 3?
Solution
Let the two digit number be 10x and y.
ATQ,
(10y+x) = (100+75)% of (10x+y)
10y+x = 7/4 (10x+y)
10y - 7y/4 = 35x/2 - x
33y/4 = 33x/2
y = 2x ---- (a)
And from the question it says that the difference between the digits of the number is 3 so
y-x = 3 ---(b)
So from eq (a) and (b)
We get, y= 6 and x = 3
So the original number is 36.
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 200+ previous papers with solutions PDF
- Top 5000+ MBA exam Solved Questions for Free
SNAP Quant Questions | SNAP Quantitative Ability
SNAP Probability, Combinatorics QuestionsSNAP Logarithms, Surds and Indices QuestionsSNAP Geometry QuestionsSNAP Progressions and Series QuestionsSNAP Linear Equations Questions