Find the value of $$a$$ in the following equation. (Given: $$a$$ < 10.)
$$\frac{{\left( {187 \div 17 \times a - 3 \times 3} \right)}}{{\left( {{8^2} - 9 \times 7 + {a^2}} \right)}} = 1$$
A. 2
B. 1
C. 4
D. 3
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \frac{{\left( {187 \div 17 \times a - 3 \times 3} \right)}}{{\left( {{8^2} - 9 \times 7 + {a^2}} \right)}} = 1 \cr & 11a - 9 = 64 - 63 + {a^2} \cr & 11a - 9 = 1 + {a^2} \cr & {a^2} - 11a + 10 = 0 \cr & {a^2} - \left( {10 + 1} \right)a + 10 = 0 \cr & {a^2} - 10a - a + 10 = 0 \cr & a\left( {a - 10} \right) - 1\left( {a - 10} \right) = 0 \cr & \left( {a - 10} \right)\left( {a - 1} \right) = 0 \cr & a = 1,\,10{\text{ Answer}} \cr} $$Related Questions on Simplification
A. 20
B. 80
C. 100
D. 200
E. None of these
A. Rs. 3500
B. Rs. 3750
C. Rs. 3840
D. Rs. 3900
E. None of these
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