Revealed: How to solve Harvard University brainteaser that 90% of people fail

When we get stuck, the internet is often our first port of call. But the World Wide Web fights back with a seemingly impossible brain teaser.

In a math problem that has divided readers, they are told: Seven men have seven wives. Each man and woman has seven children. What is the total number of people?

The question is handwritten in its original form on a piece of letterhead bearing the Harvard University logo.

The unlikely origin of the riddle, however, appears to be a 2021 Instagram post from rapper Ja Rule, who claimed a friend had sent it to him as part of a college interview.

In a math problem that has divided readers, they are told: Seven men have seven wives. Each man and woman has seven children. What is the total number of people?

The question is in its original form handwritten on a piece of letterhead bearing the Harvard University logo (pictured)

Doubts about the true origin of the question may stem from the fact that different interpretations of the ambiguous wording can lead to different answers – at least four, according to Internet users.

The wording of the question seems to indicate that there is no definitive answer, although the viral image of the brain teaser includes the handwritten claim that “90 percent [of interviewees] were eliminated’.

Even Ja Rule – a Harvard Business School alumnus who completed an online course – claimed he was at a loss.

The rapper, who has collaborated with the likes of Jennifer Lopez and Ashanti, posted the following message on Instagram to his million followers: ‘The answers are everywhere lol… solve this problem… What is the correct answer?’

What is the right solution?

Solution 1

If fans of the brainteaser assume that the question implies that seven men have a total of seven wives, and that each of the seven couples has seven children, then the total number of children is 49. Add the number of adults (14) and the answer is 63.

Solution 2

You could say that each man has seven wives. That would mean that there are 49 wives for every seven men, and a total of 56 adults. If each of those 56 had seven children, 56 multiplied by seven would equal 392 children. Add the number of adults, and the answer is 448.

Solution 3

If we only consider that each man and each of his wives – as a couple – have seven children, the equation is 49 (wives) times seven (children), which equals 343. Add the 56 adults together and the total is 399.

Solution 4

Some Internet users have assumed that each man and woman – a total of 14 adults – have seven children each. This makes a total of 98 children, with the 14 adults making a total of 112.

  • The troublemakers among us have come up with a fifth answer. This assumes that each of the seven men has one wife, but that they divide the seven children between them – instead of all having that number. Seven men, seven women and seven children gives an answer of 21. But the wording of the question doesn’t really support this.

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