/20
M
00:21
empt Question:2
If A and B whole numbers are such that 9A2 = 12
+ 96 and B2 = 2B + 3, then which of the following
is the value of 5A + 7B
A. 31
B. 37
Answers
Answered by
0
Answer:
Correct option is
C
41
A,B are whole numbers
9A
2
=12A+96 & B
2
=2B+3
9A
2
−12A−96=0 & B
2
−2B−3=0
3A
2
−4A−32=0
3A
2
−12A+8A−32=0 & B
2
−3B+B−3=0
(3A+8)(A−4)=0 & (B−3)(B+1)=0
∴A=4,B=3 (∵A,B are whole numbers ∵(A
=
3
−8
) &(B
=−1)
5A+7B=5(4)+7(3)
=41
Similar questions