SOLUTION: seven times a two digit number is the same as four times the number obtained on interchanging the digits of the given number . if one digit of the given number exceeds the other by
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Question 619174: seven times a two digit number is the same as four times the number obtained on interchanging the digits of the given number . if one digit of the given number exceeds the other by 3,find the number.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
seven times a two digit number is the same as four times the number obtained on interchanging the digits of the given number.
if one digit of the given number exceeds the other by 3, find the number.
:
10a + b = "the number"
:
The equation:
7(10a + b) = 4(10b + a)
70a + 7b = 40b + 4a
70a - 4a = 40b - 7b
66a = 33b
:
"one digit of the given number exceeds the other by 3"
We know b is the larger digit from the above equation
b - a = 3
b = (a+3)
:
replace b with (a+3)
66a = 33(a+3)
66a = 33a + 99
66a - 33a = 99
33a = 99
a = 3
:
You can find b, check the solution in the 1st statement
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