Ratio of three numbers x, y, z are in 2, 3, 5 respectively and the sum of x, y, z is 80. If the number z is given by the equation z = ax - 8, then a is ?
A. 6
B. $$\frac{3}{2}$$
C. 3
D. $$\frac{5}{2}$$
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let numbers are }} \cr & x = 2r,{\text{ }}y = 3r,{\text{ }}z = 5r \cr & {\text{Sum, }}x + y + z = 2r + 3r + 5r \cr & \Rightarrow x + y + z = 10r \cr & \Rightarrow x + y + z = 80 \cr & r = 8,x = 16,y = 24,z = 40 \cr & {\text{Then, }}z = ax - 8 \cr & \Rightarrow 40 = a \times 16 - 8 \cr & \Rightarrow a = 3 \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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