product of a two digit of a two digit number is 6. the sum of the digits is 7. find the number.
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product of a two digit of a two digit number is 6. the sum of the digits is 7. find the number.
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Verified answer
let the number be x+10y
let x and y be two digits
X×Y=6------------1
X+Y=7 ------------2
from 2 eqn
x=7-y
putting value of x in eqn 1
(7-y)y=6
7y-y²-6
-(y²-7y+6)=0
y²-7y+6=0
y²-y-6y+6=0
y(y-1)-6(y-1)=0
(y-1)(y-6)=0
y=1
y=6
since x=7-y
so, x=7-1=6
x=7-6=1
x=6,1
hence the number is 16 or 61