8th Class
Mathematics
Algebraic Expressions
Question Bank
Algebra
question_answer
In a two digit number, the ten's digit is 2 more than the unit's digit. Sum of the digits is \[y=1\] of the whole number. Find the number.
A)24
B)42
C)64
D)46
Correct Answer:
B
Solution :
10
1
\[x+2\]
\[x\]
The number is \[10x+20+x=11x+20\] Sum of the digits \[{{x}^{4}}-{{x}^{3}}-{{x}^{2}}+4x-8\] So \[2x+2=\frac{1}{7}(11x+20)\] \[-1\] \[-2\] \[25{{x}^{2}}+16{{y}^{2}}+40xy\] \[x=1\] The number \[y=-1\]