Question

question 1find two consecutive even numbers such that the sum of the smaller number and twice the greater number is 100A.) 32 and 33B.) 32 and 34C.) 34 and 36D.) 35 and 36

Answer 1

The first thing to remember is what is an even number? An even number is a number ended by 0,2,4 or 8. So we can eliminate the answer D and the answer A (35 and 33 are not even numbers).

The next step is verifying the second condition: the sum of the smaller number and twice the greater number is 100. What does it mean? It means for every pair in B and C that (respectively)

`32+2(34)=100`
`34+2(36)=100`

(such equations are the translation to the mathematical language of the text).

As you said well the true equation is the first. Then, the answer is B.