Question
uncle richard's phone number contains 8 different numbers. The sum of the numbers formed by the first 5 digits and the number formed by the last 3 digits is 68427. The sum of the number formed by the first 3 digits and the number formed by the last 5 digits is 36090. what is the uncle's phone number
Answers
a b c d e f g h
first 5 = e+10 d + 100 c + 1000 b + 10,000 a
last 3 = 100 f + 10 g + h
sum = 10,000 a + 1000 b + 100(c+f) + 10(d+g) + (e+h)
so
a = 6
b = 8
c + f = 4
d + g = 2
e + h = 7
===================
first three = 100 a + 10 b + c
last five = 10,000 d + 1,000 e + 100 f + 10 g + h
sum = 10,000 d + 1000 e + 100(a+f) + 10(b+g) + (c+h) = 36090
so
d = 3 , e = 6 , a+f= 0 , (b+g) = 9 , (c+h )= 0
so
a = 6
b = 8
c = ?
d = 3
e = 6
f = ?
g = ?
h = ?
well a + f ends in 0 and a = 6 so f = 4
c + f = 4 so c = 0
c+ h = 0 so h = 0
b + g = 9 so g = 1
6 8 0 3 6 4 1 0
first 5 = e+10 d + 100 c + 1000 b + 10,000 a
last 3 = 100 f + 10 g + h
sum = 10,000 a + 1000 b + 100(c+f) + 10(d+g) + (e+h)
so
a = 6
b = 8
c + f = 4
d + g = 2
e + h = 7
===================
first three = 100 a + 10 b + c
last five = 10,000 d + 1,000 e + 100 f + 10 g + h
sum = 10,000 d + 1000 e + 100(a+f) + 10(b+g) + (c+h) = 36090
so
d = 3 , e = 6 , a+f= 0 , (b+g) = 9 , (c+h )= 0
so
a = 6
b = 8
c = ?
d = 3
e = 6
f = ?
g = ?
h = ?
well a + f ends in 0 and a = 6 so f = 4
c + f = 4 so c = 0
c+ h = 0 so h = 0
b + g = 9 so g = 1
6 8 0 3 6 4 1 0
I did that fast, check it! Particularly where a 1 should be carried left
your brother is at the hospital. will you come to my house.
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