The larger number is 17
Solution:
Let "x" be the larger number
Let "y" be the smaller number
The difference between of two numbers is 9
Therefore,
larger number - smaller number = 9
x - y = 9 -------- eqn 1
The large number is one more than twice the smaller number
Larger number = 1 + 2(smaller number)
x = 1 + 2y ------ eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
1 + 2y - y = 9
1 + y = 9
y = 9 - 1
y = 8
Substitute y = 8 in eqn 1
x - 8 = 9
x = 8 + 9
x = 17
Thus the larger number is 17
