Question

The larger of two numbers is one more than twice the smaller. Four times the larger is the same as less than nine times the smaller. What's the larger number

Answer 1

9

Explanation:

Let larger number be L

and

smaller number be S

The larger is 1 more than twice smaller, so we can write:

L = 1 + 2S

4 times larger is 9 times smaller, so we can write:

4L = 9S

Let's put 1st equation in 2nd and solve for S first:

4L = 9S

4(1 + 2S) = 9S

4 + 8S = 9S

S = 4

Now,

L = 1 + 2S

L = 1 + 2(4)

L = 9

The larger number is, thus, equal to 9