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kramer
3 years ago
5

The difference between of two numbers is 9. If the large number is one more than twice the smaller number, find the larger numbe

r.
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

The larger number is 17

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

Let "x" be the larger number

Let "y" be the smaller number

<em><u>The difference between of two numbers is 9</u></em>

Therefore,

larger number - smaller number = 9

x - y = 9 -------- eqn 1

<em><u>The large number is one more than twice the smaller number</u></em>

Larger number = 1 + 2(smaller number)

x = 1 + 2y ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 2 in eqn 1</u></em>

1 + 2y - y = 9

1 + y = 9

y = 9 - 1

y = 8

<em><u>Substitute y = 8 in eqn 1</u></em>

x - 8 = 9

x = 8 + 9

x = 17

Thus the larger number is 17

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