WHY DID ABRAHAM SEND ISHMAEL AWAY? Did Ishmael Really Mock the Little Isaac?

Original title: Did Ishmael Really Mock the Little Isaac?
By Navah October 24, 2016

Genesis 21:9
9 And Sarah saw the son of Hagar the Egyptian, whom she had borne to Abraham, mocking

Elohim told Avraham in Genesis 15:13-16 that his seed was to be sojourners in a land that was not theirs, and would serve and be afflicted for 400 years. And this is interpreted by many that Israel was in Egypt 400 years. 

However, in Exodus 12:40-41 we see that the sojourn of Israel in Egypt was 430 years. Is there any contradiction in the Scripture and how does Ishmael’s mocking relate to Genesis 15:13-16 and
Exodus 12:40-41? Let us reason together. 

According to Genesis 16:15-16, Abraham was 86 when Ishmael was born by an Egyptian woman. But the “seed” of the covenant, Isaac, was born when Abraham was 100 years old (Genesis 17:19-21), therefore at the Isaac’s birth Ishmael was 14 years old. On the day that Isaac was weaned, Abraham’s Egyptian son, Ishmael, was “poking fun” at him (Genesis 21:8-9). According to archaeological evidence, the children in the Ancient Near East were weaned between three and five years of age [per Gen. Rabbah 53:10, Keth. 60a, at the end of twenty-four months], then it is possible that Ishmael was between 17 to 19 years old and Isaac, 3-5 years old when the mocking occurred and Ishmael was expelled.

Tsachaq‘s [צָחַק] application as a sexual play can be seen in Genesis 26:8 where Yitshak and Rivqah were involved in a sexual play.

Genesis 26:8
8 And it came to be, when he had been there a long time, that Avimelek sovereign of the Philistines looked through a window, and he watched and saw Yitshak playing with (צָחַק tsachaq) Rivqah his wife. 

This Hebrew word צָחַק tsachaq can have an expression of idolatry in the golden calf sin, as idolatry with idols is likened to whoring:

Exodus 32:6
6 And they rose early on the next day, and offered ascending offerings, and brought peace offerings. And the people sat down to eat and drink, and rose up to play (צָחַק tsachaq)

And an expression of illicit sexual relations, as it is said in Genesis 39:17, where the Yoseph’s mistress falsely accused him of an attempt for rape:

Genesis 39:17-18
And she spoke to him these same words, saying, “The Hebrew servant whom you brought to us came in to me, to mock me (צָחַק tsachaq), so it came to be, as I lifted my voice and cried out, that he left his garment with me and fled outside.” 

Or, we may  simply say that tsachaq in its simple meaning “to poke” can be translated depending on what one pokes with. Therefore, we may conclude that the Hebrew word צָחַק tsachaqfor “mocking” can have a negative connotation and Genesis 21:9 can be translated as:

Genesis 21:9 
9 And Sarah saw the son of Hagar the Egyptian, whom she had borne to Avraham, (צָחַק tsachaq) molesting.

In support of this understanding of what happened between Ishmael and Yitshak, Apostle Shaul makes the same point in his Epistle to the Galatians where he says that Ishmael persecuted Yitshak (see also Mid. Rab. Exodus 1:1 and Mid Rab Genesis 53:11):

Galatians 4:29-30
But, as he who was born according to the flesh then persecuted him born according to the Breath, so also now. But what does the Scripture say? “Cast out the female servant and her son, for the son of the female servant shall by no means be heir with the son of the free woman.” 

But, when did Ishmael persecute Yitshak? Never. There is no such an account of persecution except in Genesis 21:9.
If a molestation was what happened, then that was the beginning of the “affliction” of the seed of Avraham (Genesis 15:13), and the Exodus occurred 400 years later from that point. Therefore,
Genesis 15:13 and Exodus 12:40-41 are two statements for two different events.