Question

if 45 subtracted from twice the Greater of two numbers it result in the other. if 22 is subtracted from twice the smaller number, it results in the Greater number, find the numbers

Answer 1

Heya mate,

Here is your answer,. ⬇️⬇️

${ANSWER :-}$

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$<i>$ Let the numbers be x and y where x is greater than y.

Now, as per the conditions,
We have, 2x - 45 = y
Or, 2x - y = 45. ........ (1)

Again,
We have, 2y - 22 = x
Or, 2y - x = 22. ........... (2)

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Now, [equation (2) * 2] + [equation (1)]
We have as,
2x - y + 4y - 2x = 45 + 44
Or, 3y = 89
Or, y = 89/3

Now, putting the value in (1),
2x - 89/3 = 45
Or, 2x = 89/3 + 135/3 = 224/3
Or, x = 112/3

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➡️ Hence, the greater number is 112/3 and the smaller number is 89/3.

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$<b>$ Hope this helps,.

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Answer 2

Answer:

Step-by-step explanation:

Let the big number =x and

Small number =y

1st condition

2x-45=y

2x-y=45..........(1)

2nd condition

2y-22=x

x-2y=-22...........(2)

Multiple by 2 in (2)

2x-4y=-44...........(3)

2x-y=45...............(1)

- + -

............................subtrection

-3y=-89

Y=89/3

2x-(89/3)=45

2x=45+89/3

2x=224/3

x=112/3