If log\(_{10}\)x = 2.3675 and log\(_{10}\)y = 2.9738, what is the value of x + y, correct to three significant figures
A
0.118
B
0.903
C
0.117
D
0.944
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
log\(_{10}\)x = 2.3675 ⇒ x = 10\(^{2.3675}\) ⇒ x ≈ 0.02331
log\(_{10}\)y = 2.9738 ⇒ y = 10\(^{2.9738}\) ⇒ y ≈ 0.09414
∴ x + y = 0.02331 + 0.09414 = 0.11745 = 0.118 (3 s.f.)
Source: WAEC / JAMB / NECO Classroom Archive (Record #75851)