Only using numbers 8, 7, 4, and 3
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

If a, b, c, d are the missing numbers:

(a-b/c)×d=10,

which can be interpreted:

((a-b)/c)×d=10 or (a-(b/c))×d=10.

So: (a-b)d=10c or (ac-b)d=10c.

Since {a,b,c,d}={8,7,4,3}, 10c/d must be a whole number.

(1) a-b=10c/d or (2) ac-b=10c/d.

Consider single-digit numbers first.

(1) If c=8, then d=4 and the RHS=20; if c=4, then d=8 and the RHS=5. (1) doesn't work, because a-b=7-3=4.

(2) If c=8, then d=4, but ac-b can only be 8a-b=8×3-7=17; or 8a-b=8×7-3=53, neither of which work.

If c=4, then d=8, ac-b becomes 4a-b=4×3-7=5, which works:

(3-(7/4)×8=10, (12-7)/4×8=(5/4)×8=10.

by Top Rated User (1.2m points)

Related questions

1 answer
asked Nov 29, 2016 in Algebra 1 Answers by anonymous | 785 views
1 answer
asked Jan 25, 2016 in Algebra 1 Answers by anonymous | 668 views
1 answer
asked Jan 12, 2015 in Pre-Algebra Answers by anonymous | 735 views
1 answer
asked Jul 30, 2014 in Algebra 1 Answers by Shadrack | 1.1k views
1 answer
1 answer
asked Sep 18, 2013 in Algebra 1 Answers by anonymous | 611 views
1 answer
asked Sep 2, 2013 in Algebra 2 Answers by anonymous | 748 views
1 answer
1 answer
asked Jul 17, 2013 in Algebra 1 Answers by anonymous | 643 views
1 answer
1 answer
asked Nov 13, 2014 in Other Math Topics by Cepauley Level 1 User (340 points) | 628 views
1 answer
asked Nov 13, 2014 in Other Math Topics by Cepauley Level 1 User (340 points) | 614 views
1 answer
asked Nov 13, 2014 in Other Math Topics by Cepauley Level 1 User (340 points) | 745 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,516 questions
100,328 answers
2,420 comments
754,426 users