Mr teo has some oranges and a few bags. he uses all the bags to pack the oranges. if he packs 5 oranges in each bag, he will be short of 4 oranges. if he packs 4 oranges in each bag, he will have 3 oranges left. what is the least number of oranges he has?

31 oranges

Step-by-step explanation:

Let n be the number of oranges and m be the number of bags Mr. Teo has.

If he packs 5 oranges in each bag, then he packs 5m oranges in m bags and since he is short of 4 oranges,

If he packs 4 oranges in each bag, then he packs 4m oranges in m bags and since he has 3 oranges left,

Equate right sides of these two equations:

Hence,

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.