sum of the two digit number is 9. the number obtained by interchanging the digits exceeds the given number by 27. find the original number.
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Answered by
6
Let the digit on one's place be x
Let the digit on ten's place be y
The original number :- 10y+x
From the data :- x+y=9----------equation 1
Now if we interxhange the digit i.e.
let the digit on one's place be y
Let the digit on ten's place be x
The new number :- 10x+y
From the data :-10x+y = 10y+x+27
=10x-x=10y-y+27
=9x=9y+27
=9x-9y=27
=x-y=3--------------equation 2
Now adding equation 1 and equation 2
x+y=9
x-y=3
we will get 2x=12==>x=6
Substituting value of x in equation 1
x+y=9
y=9-6
y=3
ANSWER:-x=6 and y=3
If you find it helpful please mark it as braineliest......
Let the digit on ten's place be y
The original number :- 10y+x
From the data :- x+y=9----------equation 1
Now if we interxhange the digit i.e.
let the digit on one's place be y
Let the digit on ten's place be x
The new number :- 10x+y
From the data :-10x+y = 10y+x+27
=10x-x=10y-y+27
=9x=9y+27
=9x-9y=27
=x-y=3--------------equation 2
Now adding equation 1 and equation 2
x+y=9
x-y=3
we will get 2x=12==>x=6
Substituting value of x in equation 1
x+y=9
y=9-6
y=3
ANSWER:-x=6 and y=3
If you find it helpful please mark it as braineliest......
parsewar:
because it is not giving option to mark as brainliest
it will be on the top of my answer
no it is not there
no problem check later on
OK
thanks once again for giving right answer
thank you
oops
i should say welcome
The origunal number :- 10y+x=30+6 =36
Answered by
7
hi
let the number be xy
tens place = 10x
ones place = y
Sum of the two digit number is 9
x + y = 9.........[1]
the number obtained by interchanging the digits exceeds the given number by 27
so let
form an equation
10 x +y = 10y +x + 27
10x +y -10y -x = 27
=> 9x - 9y= 27
let us divide by 9
=> x - y = 3.......[2]
on adding [1] and [2]
x + y =9
x - y = 3
2x = 12
x = 6
y = 9 -x
=> 9 - 6
=>3
x = 6 and y= 3
original no. = xy
=>63
hope it helps u
:)
let the number be xy
tens place = 10x
ones place = y
Sum of the two digit number is 9
x + y = 9.........[1]
the number obtained by interchanging the digits exceeds the given number by 27
so let
form an equation
10 x +y = 10y +x + 27
10x +y -10y -x = 27
=> 9x - 9y= 27
let us divide by 9
=> x - y = 3.......[2]
on adding [1] and [2]
x + y =9
x - y = 3
2x = 12
x = 6
y = 9 -x
=> 9 - 6
=>3
x = 6 and y= 3
original no. = xy
=>63
hope it helps u
:)
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