Question

The difference of two numbers is nine the larger number is one more than find the larger number

Answer 1

Question:

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

Answer:

The larger number is 17

Solution:

Let the smaller number be "a"

Let the larger number be "b"

The difference of two numbers is nine

Therefore,

b - a = 9 ------ eqn 1

larger number is one more than twice the smaller number

Therefore,

b = 1 + 2a ----- eqn 2

Substitute eqn 2 in eqn 1

1 + 2a - a = 9

a = 8

Substitute a = 8 in eqn 1

b - 8 = 9

b = 9 + 8

b = 17

Thus the larger number is 17