If (a – b) is 6 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is
(a)0.5
(b)1
(c)1.5
(d)None of these
Answer
Answer (as printed): C
Explanation
(a – b) – (c + d) = 6 and (c – d) – (a + b) = 3 ⇒ (a – c) – (b + d) = 6 and (c – a) – (b + d) = 3 ⇒ (b + d) = (a – c) – 6 and (b + d) = (c – a) – 3 ⇒ (a – c) – 6 = (c – a) – 3 ⇒ 2(a – c) = 3 ⇒ (a – c) = $\frac{3}{2}$ = 1.5.
Explanation as extracted from the printed page; notation may be imperfect.