Question 161872
Write equation for each statement:
;
Find a five-digit number in which the first and last digits are the same.
Let w = 1st and last digits
:
Let the 5 digits = w, x, y, z, w 
;
The first digit is two less than the second and four less than the third.
w = x - 2
or
x = w + 2
and
w = y - 4
or
y = w + 4
;
The fourth digit is one-fourth of the third digit.
z = {{{1/4}}}y
or
y = 4z
;
The sum of the first and last digits equals the third digit.
2w = y
:
From the 2nd statement, we know y = w+4, so we have:
2w = w+4
2w - w = 4
w = 4
:
y = w + 4
y = 4 + 4
y = 8
and
x = w + 2
x = 4 + 2
x = 2
and
z = {{{1/4}}}y
z = {{{1/4}}}8
z = 2
;
The 5 digits;
4, 2, 8, 2, 4