Question

Can someone please tell me how I can write up a sum with the numbers 2,3,4,7 and 11 to make it equal 100?? Thanks

Answer 1

`2^4+73+11=100`

Explanation:

You can't combine 11 with any of the other numbers; otherwise, the sum will already be over 100. So you can simplify the problem by finding a sum of 100-11, which is 89.

You are looking for values that sum to 89. You can begin by looking for combinations of values whose ones digits will sum to 9. You have a 2 and a 7, which might work.

There are two ways to arrange these values:
32 + 47 = 79
42 + 37 = 79
Although both these sums have a ones digit of 9, they sum to 79 instead of 89, so they would not work.

Next, try exponents. You'll eventually find that there is another way to sum to 89:
`2^4+73`
`16+73=89`

Thus, your answer is:
`2^4+73+11=100`
All values in the problem are used.