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Revealed: How to solve the Harvard University riddle that 90% of people can’t figure out

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

The Internet is often our first port of call when we’re stuck on a question, but the world wide web strikes back with a seemingly impossible riddle.

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

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

But the unlikely origin of the riddle appears to be a 2021 Instagram post from rapper Ja Rule, who claimed it was sent to him by a friend as part of a college “interview” process.

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

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

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

Doubts about the true origin of the question may arise from the fact that different interpretations of its ambiguous formulation can give rise to several answers, at least four, according to Internet users.

The wording of the question implies that there is apparently no definitive answer, although the viral image of the puzzle includes the handwritten claim that “90 percent (of those interviewed) were eliminated.”

Even Ja Rule, a Harvard Business School alumnus who completed an online course, said he was stumped.

The rapper, who has collaborated with artists including Jennifer Lopez and Ashanti, posted to his one million Instagram followers: ‘The answers are everywhere lol… Solve this problem… What is the correct answer?’

What is the correct solution?

Solution 1

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

Solution 2

One could argue that each man has seven wives. That would mean 49 wives for the seven men and a total of 56 adults. If each of those 56 had seven children, 56 multiplied by seven would result in 392 children. If we add up the number of adults, the answer is 448.

Solution 3

Considering only that each man and each of his wives – as a couple – have seven children, the equation will be 49 (women) times seven (children), which gives 343. If we add the 56 adults, 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, and the 14 adults add up to a total of 112.

  • Those opposed to the theory have proposed a fifth answer. This assumes that each of the seven men has a wife, but that they share the seven children among themselves, rather than each having that many. Seven men, seven wives, and seven children gives an answer of 21. But the wording of the question does not really support this idea.

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