perplexus.info :: Numbers : Product Predicament Quickie

Product Predicament Quickie (Posted on 2023-04-09)

A/B=51/54, C/D=440/493, B/C=29/32
E/F=493/608, and D/E=38/55

Using only pen and paper, how quickly can you evaluate the value of the under noted expression?

A*B*C
------*17
D*E*F

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

The missing link

Comment 2 of 2 |

Using Larry's notation:

v = A/B = 51/54
w = B/C = 29/32
x = C/D = 440/493
y = D/E = 38/55
z = E/F = 493/608

Then A/D = v*w*x

B/E = w*x*y

C/F = x*y*z

The desired goal = 17*(A/D)*(B/E)*(C/F), so

The desired goal = 17 * v * w^2 * x^3 * y^2 * z

Posted by Steve Herman on 2023-04-09 09:54:01

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