Question

sum of two digits of a 2-digit number is 12 if dihit are reversedthe new no. so formed increase by 36 find the no..??

Answer 1

let the two digits be x and y
required no.=10x+y
reverse=10y+x
A.T.Q
x +y=12 ..........i
10y+x+36=10x+y
10y-y+x-10x=-36
9y-9x=-36
+-9x+9y=-36
-(9x-9y)=-36
9x-9y=36........ii

i×9
9x+9y=108
9x-9y=36

18x=144
x=144/18
x=8

putting the value in eq i
x+y=12
8+y=12
y=12-8
y=4

x=8
y=4




hope it helps..........
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