Mr. Lynch bought some oranges and pears.after giving away 10 oranges, he had twice as many pears as oranges left.if he had 24 pears in the end,what was the ratio of the number of oranges to the number of pears he had at first?

I like feet

number of oranges --- x

after give-away
number of oranges = x-10
number of pears = 24
and he had twice as many pears as oranges
24 = 2(x-1)
2x - 2 = 24
x = 13

ratio of oranges : pears = 13 : 24

I'm sorry, this is inappropriate and irrelevant to this platform. Please refrain from making such comments.

To find the ratio of the number of oranges to the number of pears Mr. Lynch had at first, we need to determine the number of oranges and pears he had after giving away 10 oranges and the information about the number of pears he had in the end.

Let's assume Mr. Lynch had x oranges and y pears initially.

After giving away 10 oranges, he would have (x - 10) oranges left.

From the given information, we know that he had twice as many pears as oranges left after giving away 10 oranges, so we can set up the following equation:

y - 10 = 2(x - 10)

Now, we can solve this equation to find the value of x (oranges) and y (pears).

Expanding the equation:
y - 10 = 2x - 20

Rearranging the equation:
2x - y = 10

We also know that in the end, Mr. Lynch had 24 pears. So, we can set up another equation:

y = 24

Substituting this value into the previous equation:
2x - 24 = 10

Simplifying the equation further:
2x = 10 + 24
2x = 34
x = 17

So, Mr. Lynch initially had 17 oranges and 24 pears.

To find the ratio, we divide the number of oranges by the number of pears:

Ratio = number of oranges / number of pears
Ratio = 17 / 24

Therefore, the ratio of the number of oranges to the number of pears Mr. Lynch had at first is 17:24.

h\

number of oranges --- x

after give-away
number of oranges = x-10
number of pears = 24
and he had twice as many pears as oranges
24 = 2(x-1)
2x - 2 = 24
x = 12

ratio of oranges : pears = 12 : 24