Asked by Edward
It is a 4-digit number
The tens are double the ones.
The thousands are double the tens.
The sum of the digits is 19.
What number is it?
Answers
Answered by
Reiny
ones digit --- x
tens digit ---- 2x
thousands --- 4x
hundreds -----y
x+2x + 4x + y = 19
y = 19-7x
but x and y must be single digit positive integers.
let x = 1, then y = 12 , not possible
let x = 2, then y = 5
The number is 8542
let x = 3, then y = 19-21 = negative, no good
any higher number of x will make things even worse
so the number is 8542
tens digit ---- 2x
thousands --- 4x
hundreds -----y
x+2x + 4x + y = 19
y = 19-7x
but x and y must be single digit positive integers.
let x = 1, then y = 12 , not possible
let x = 2, then y = 5
The number is 8542
let x = 3, then y = 19-21 = negative, no good
any higher number of x will make things even worse
so the number is 8542
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