Saturday

January 31, 2015

January 31, 2015

Posted by **Omar** on Wednesday, February 13, 2013 at 2:15pm.

they are multiplied they are at least 2000.

- math -
**Steve**, Wednesday, February 13, 2013 at 3:08pmmaximum product occurs when a=b=50

That makes the product 2500

The larger a gets, the smaller b must get, so try

a=40 b=60: ab=2400

a=30 b=70: ab=2100

a=20 b=80: ab=1600

and narrow in on it.

Or, algebraically,

a(100-a) >= 2000

a^2 - 100a + 2000 <= 0

10(5-√5) <= a <= 10(5+√5)

27.6 <= a <= 72.3

so, 28 < a <= 72

check:

28*72 = 2016

27*73 = 1971

**Answer this Question**

**Related Questions**

Math - List the common multiples from 1 to 100 for each pair of numbers. Then ...

Math - Working with simple addition and multiplication of positive and negative ...

math - A. Find 3 pairs of numbers for which the least common multiple equals the...

Math - Find three pairs of numbers for which the LCM (least common multiple) is ...

Math - 1. What two numbers can be multiplied to equal -60 and added to be -11? ...

math - Find all pairs (m,n) of positive integers such that m(n+1) + n(m-1) = ...

math - hese numbers in ordered pairs are related to each other. 1.(1,2), (3,4...

Math - these numbers in ordered pairs are related to each other. 1.(1,2), (3,4...

Math - these numbers in ordered pairs are related to each other. 1.(1,2), (3,4...

Math - Find all sets of integers {x,y,z} such that when any one of these numbers...