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

Question

3 years ago

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r.

1 answer:

sleet_krkn [62] · Answer 1 · 2022-02-21T06:42:27+03:00

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