the sum of two numbers is 97 . If the greater number is divided by smaller number , the quotient is 7 and the remainder is 1 .find the number
Answers
Answered by
6
let the two numbers be x and y.
x+y=97-(eq.1)
and, By Euclid division algorithm,
x=y×7+1
x=7y+1-(eq.2)
put Value of eq.2 in eq.1
(7y+1)+y=97
8y=96
y=12
put Value of y in eq.2
x=7(12)+1
x=84+1
x=85
hence,two numbers are 85 and 12.
x+y=97-(eq.1)
and, By Euclid division algorithm,
x=y×7+1
x=7y+1-(eq.2)
put Value of eq.2 in eq.1
(7y+1)+y=97
8y=96
y=12
put Value of y in eq.2
x=7(12)+1
x=84+1
x=85
hence,two numbers are 85 and 12.
Similar questions