Since women have two X chromosomes, they are more likely to pass intelligence to their children.

Things are not that simple. If two parents have for example a daughter (with the female genotype XX), the girl has always exactly one X chromosome from the mother and one from the father. Of course it is possible that the X chromosome stemming from the mother is more active (caused by genomic imprinting) but then that has nothing to do with the higher number of X chromosomes of the mother.

Apart from that 'intelligence' is, like every complex trait, polygenic which means many genes (respectively their various alleles) are responsible for its manifestation, and it is estimated that 'only' about 16 % of genes affecting 'intelligence' are located on the X chromosome.