Posted by lori on Sunday, November 4, 2012 at 1:49pm.
My 3rd grade son get this math problem.
It states that John thinks of a 3digit number. What is his number? Use the clues below to find John's number.
Every digit is different.
The sum of all thedigits is 19.
The difference between the hundreds digit and the ones digit is 6.
The tens digit is the greatest digit.
The number is greater than 500.
Please Help.

singapore math  Ms. Sue, Sunday, November 4, 2012 at 1:58pm
Use trial and error.
The hundreds digit is 6, 7, 8, or 9
The ones digit is 0, 1, 2, or 3
The tens digit is 7, 8, or 9
Can you figure this out now?

singapore math  Steve, Sunday, November 4, 2012 at 1:58pm
if hundredsones=6, then we have
9x3
8x2
7x1
6x0
Since the digits add to 19, 7x1 and 6x0 are out, leaving
9x3 or 8x2
If tens is greatest, 9x3 is out, so we must have
892
This must be the number, since the only other choice would be 298, where the difference between hundreds and ones is still 6, but in the other direction

singapore math  Damon, Sunday, November 4, 2012 at 2:24pm
x y z
x + y + z = 19
xz = 6
x >/= 5
y >/= 6
so x+y >/= 11
so z </= 8 to get 19 sum
z < 6 because y is biggest
choices
x 5 6 7 8 9
y 6 7 8 9
z 0 1 2 3 4 5 6 7 8
but x and z differ by 6 so
x 5 6 7 8 9
y 6 7 8 9
z 0 1 2 3
now what adds to 19 there with y biggest?
none until y = 9
so x 9 z
but x and z differ by six
8 and 2 differ by six
8 9 2 ?
Answer This Question
Related Questions
 math  Neelesh is fond of playing number games. Once when his friends were ...
 maths  Find the sum of all 3digit positive numbers N that satisfy the ...
 Math  John chooses a 5digit positive integer and deletes one of its digits to ...
 Math  John is thinking of a number in the hundred thousands the first digit is ...
 math  a threedigit number satisfies these condition: thedigits are consecutive...
 word problem  the different between the digit of a two digit number is 1, the ...
 word problem  the different between the digit of a two digit number is 1, the ...
 Maths  in a game you have to guess what a number is through some clues the ...
 math  The number uses every number 09 the numbers are used only once the ...
 math  a number with missing digits is given below.study the given clues and ...
More Related Questions