Question

The difference of two numbers is 9 if the larger number is one more than twice the smaller number find the larger number

Answer 1

17

Explanation:

let the two numbers be X and Y

let larger number = Y

from the first statement

Y - X = 9 equation (1)

from the second statement

Y = 1+ 2X equation (2)

substitute equation (2) into (1)

1+2X-X = 9

1+X= 9

X = 9-1 = 8

X= 8

put X = 8 into equation (2)

Y= 1+2X

Y= 1+2(8)

Y= 1+16 = 17

larger number = 17.