A number consists of two digit whose sum Is 5. If 9 is substracted from the number the digits are reversed. Find the number
Answers
Answered by
1
Step-by-step explanation:
imagine,first digit is x
second digit is y
so,number is x+10y
1stly,x+y=5
2ndly,x+10y-9=10x+y
or,x+10y-10x-y=9
or,9y-9x=9
or,9(y-x)=9
or,y-x=9/9=1
or,y=x+1
now,x+(x+1)=5
or,x+x+1=5
2x+1=5
2x=5-1=4
x=4/2=2
so,y=x+1=2+1=3
so,number is,x+10y=2+10×3
=2+30
=32
so 32 is the number.
Answered by
0
Answer:
32
Step-by-step explanation:
let xy be the number
and unit place be y
and tens place be x
x+y=5 ~1
10x+y-9=10y+x
10x-10y+y-x=9
9x-9y=9
9(x-y)=9
x-y=9/9
x-y=1 ~2
~1+~2
x+y+x-y=5+1
2x=6
x=6/2
x=3
~2
x-y=1
3-y=1
y=2
the no is
32
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