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# the sum of the digits of a two digits number is 5. the digits are interchanged, when 27 is added to it. find the number.

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the sum of the digits of a two digits number is 5. the digits are interchanged, when 27 is added to it. find the number.

Guest Apr 17, 2015

#1
+91927
+10

this is a neat little simultaneous equation question :))

Let the number be 10a+b  so it will look like ab

a+b=5      (1)

10a+b+27=10b+a

9a+27=9b

a+3=b

a-b=-3      (2)

(1)+(2)

2a=2

a=1

b=1+3=4

So the original number is 14

checking:

14+27=41  that is good

1+4=5   that is good too   :)

Melody  Apr 17, 2015
Sort:

#1
+91927
+10

this is a neat little simultaneous equation question :))

Let the number be 10a+b  so it will look like ab

a+b=5      (1)

10a+b+27=10b+a

9a+27=9b

a+3=b

a-b=-3      (2)

(1)+(2)

2a=2

a=1

b=1+3=4

So the original number is 14

checking:

14+27=41  that is good

1+4=5   that is good too   :)

Melody  Apr 17, 2015
#2
+84066
0

I always like these, too, Melody......good job   !!!!

CPhill  Apr 17, 2015
#3
+91927
0

Thanks CPhill

Melody  Apr 17, 2015

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