SOLUTION: If the value of a two digit whole number is three times the sum of its digits, then the value of the number formed by interchanging the digits is the sum of the digits multiplied b
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Question 702076: If the value of a two digit whole number is three times the sum of its digits, then the value of the number formed by interchanging the digits is the sum of the digits multiplied by what number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let a = the 10's digit
let b = the units
then
10a+b = "the number"
:
If the value of a two digit whole number is three times the sum of its digits,
10a + b = 3(a + b)
10a + b = 3a + 3b
10a - 3a = 3b - b
7a = 2b
a = b
The only value for b to equal single digit integer for a. b = 7
then a = 2
27 is the number
:
then the value of the number formed by interchanging the digits is the sum of the digits multiplied by what number (n)
72 = n(2+7)
72 = n(9)
n = 8
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