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3 years ago

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

Mathematics

1 answer:

Ann [662]3 years ago

5 0

<em><u>Question:</u></em>

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

<em><u>Answer:</u></em>

<em><u>The larger number is 17</u></em>

<em><u>Solution:</u></em>

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

Substitute a = 8 in eqn 1

b - 8 = 9

b = 9 + 8

Thus the larger number is 17

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