Their hopes of getting their own place are being delayed by the high price of London property and, more importantly, the lack of mortgages in the UK which comply with Islamic law.
"We're living with my parents at the moment because we're trying to save enough money for a house," says Mr Taj.
"Ideally we want a two-bedroom house near to where we live. We have thought about moving out of London but don't really want to because all our family are here."
Mr Taj, who works in the IT industry, began looking into buying a home during his studies.
"When I learned how mortgages work and that you have to pay interest, I spoke to Islamic scholars for advice.
"I decided mortgages based on interest would not be acceptable to me because they would compromise Muslim principles."
Islamic mortgage market 'worth billions'
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Mortgages from British financial institutions are interest-based, something which does not comply with Islamic Sharia law.
Islam has no objection to wealth creation, but says it must be based on partnerships and fairness where risks and rewards are shared.
In the eyes of Islamic scholars, interest is an excess payment from one party to another which is unrelated to the value of the goods traded.
Mortgage interest is therefore unacceptable because one party gains at the other's expense without any regard to the price paid for the home.
This means many Muslims in Britain find themselves in a difficult situation, trying to balance the core principles of Islamic equality with the realities of the British mortgage market.
In many cases Muslims conclude they have no choice but to reluctantly take out an interest mortgage - something Mr Taj's own parents did.
But Mr and Mrs Taj are among a growing number of young couples who want to turn to the two lenders in the UK offering Sharia compliant mortgages - the United Bank of Kuwait and the West Bromwich Building Society.