8th Class
Mathematics
Algebraic Expressions
Question Bank
Algebra
question_answer
The ratio between a two digit number and the sum of digits of that number is 4 : 1. If the digit in the units place is 3 more than the digit in the tenth place. What is the number?
A)63
B)36
C)48
D)Data is not sufficient
Correct Answer:
B
Solution :
10
1
\[x\]
\[x+3\]
Two digit number is \[\frac{1}{x}-\frac{3}{4}+\frac{1}{2+x}=0\] Sum of the digits \[\left( 2,-\frac{3}{4} \right)\] So, \[\frac{11x+3}{2x+3}=\frac{4}{1}\] \[(-8,0)\] \[\left( -\frac{4}{3},2 \right)\] \[=A-A=0\] The number = 36