What is the ruling on Hajj, Zakat, and expenditures from money earned through a job obtained by falsifying age, given the availability of competence, the impossibility of obtaining a government job except through this method, and the fact that age is originally an estimation?

It is permissible to issue a birth certificate that contradicts reality if the intention is to achieve a legitimate right, and the person faces a necessity or urgent need that prevents them from attaining it without such falsification, based on the principle "necessities permit the forbidden." However, if the intention is to deceive in order to obtain something to which one has no right, then it is not permissible, as it involves lying and cheating. In cases of ambiguity, it is advisable to avoid such actions to avert suspicion. Performing Hajj, paying Zakat, and spending from the money of the deceiver are valid and acceptable, regardless of whether their action was permissible or sinful, because the two aspects are distinct.