The sum of positive integers b and h is 34. if their difference is 8, what is the value of bh ? select one: a. 25 b. 56 c. 75 d. 273

D

given the 2 expressions, construct 2 equations

b + h = 34 → (1)

b - h = 8 → (2) with b > h

add (1) and (2) term by term to eliminate h

2b = 42 ⇒ b = 21

substitute b = 21 in (1) and solve for h

21 + h = 34 ⇒ h = 34 - 21 = 13

hence bh = 21 × 13 = 273 → D

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

a

step-by-step explanation: