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What are three number that are even, have one 7 in the numeral; the sum of the tens and units digit is divisible by 5; and the hundreds digit is greater then the units digit; which is greater than the tens digit.
 
They are even so the units digits are 0,2,4,6 or 8
The units digits are greater than the tens none is 0
If you look at all the possiblities there are four sets that add to a multiple of 5 that could be the units digits.
2 2 6
2 4 4
4 8 8
6 6 8
If the units digit is 8 then the hundreds is 9 so that number is 978
The 488 group gives
978
978
714
 
Hello, Brittany!

What are three numbers that are even, have one 7 in the numeral;
the sum of the tens and units digit is divisible by 5;
and the hundreds digit > the units digit > the tens digit.
Let H = hundreds digit, T = tens digit, U = units digit.

Since the number is even, the "7" must be T or H..

If T = 7, then U = 8, H = 9.
. . One answer: 978

Suppose H = 7.
Since U is even, and U + T = 5k, and U > T,
. . we have only: .U = 4, T = 1 and U = 6, T = 4.
Two more answers: 714, 746.
 
If we are going for all of them I think this (with my first) is it. I thought only one set was required.

From 226
712
712
736

From 244
712
724
724

From 668
746
746
978
 
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