Posted by carrie on Sunday, February 10, 2013 at 9:06pm.
I assume you mean the sum of digits.
let the number be xyz
where x is 1
Look at the right side. That has to be a whole number, so 1yz is a multiple of 19
I can range from 6 to 9
which means y+z can range from 5 to 8
try 5=y+z or y=5-z which means if
but 1yz=19*6 or 1yz/6=19, which means 1yz is divisible by six, so it ends in 6, 2, 8, 4
if =2, y=4 142 /19=not six
if z=4, y=2 124/19=not six
so yz now runs from 7 to 8
If 1+y+z= then combinations
y+z=6 or 7
Now try these combinations:
1+0+6=7, 7*19=133 nope
1+1+5=7, 133 does not match
none of the y,z above will give 133
Now try y+z=7
6,1 1+6+1=8, 8*19=152 and I see immediately that y=5, z=2
152 is the number
sum digits: 8
the number is 19 times the sum
algebra1 - One number is 6 less than another. If 10 times the smaller number ...
Math - How do I set this up and how do I solve: The sum of two numbers is 20 The...
precal - The smaller of 2 numbers is 10 less than 4 times the greater number. ...
Math(Algebra) - How would you set this problem up and work it: The difference ...
Math - Can you help me write these out in an algebraic expression? 1. Seven less...
Reiny! Reiny! Reiny! Answer Check and HW Help! - Translate to a system of ...
math - write the verbal sentence as an equation.then solve the equation Three ...
algebra - The sum of two numbers is 56. the larger number is 7 less than 3 times...
advance algebra - The sum of two numbers is 103, the larger number is 1 more ...
algebra - Solve by setting up the proper equation to describe the facts given ...
For Further Reading