First Solution

Do it with the fastest way by using formula

Using the formula above we will get the following answer

Substitute x = 1, y = 4, z = answer, into the equation x + y(x) = z

Substitute x = 2, y = 5, z = answer, into the equation x + y(x) = z

Substitute x = 3, y = 6, z = answer, into the equation x + y(x) = z

Let’s proceed to the question (8 + 11 = ?)

Given x = 8, y = 11, z = ?

8 + 88 = z

96 = z

Secondly by using pattern.

1 + 4 = 5

2 + 5 = 12

3 + 6 = 21

4 + 7 = ??

5 + 8 = ??

6 + 9 = ??

7 + 10= ??

8 + 11= 96

Sequence | Pattern | Answer |

1 + 4 = 5 | 5 | 5 |

2 + 5 = 12 | previous answer + 7 | 5 + 7 = 12 |

3 + 6 = 21 | previous answer + 9 | 12 + 9 = 21 |

4 + 7 = 32 | previous answer + 11 | 21 + 11 = 32 |

5 + 8 = 45 | previous answer + 13 | 32 + 13 = 45 |

6 + 9 = 60 | previous answer + 15 | 45 + 15 = 60 |

7 + 10= 77 | previous answer + 17 | 60 + 17 = 77 |

8 + 11= 96 | previous answer + 19 | 77 + 19 = 96 |

However, if you did manage to work out a solution for the sum yourself, there’s a tendency you came to the answer 40 instead. Here’s how you come to that answer:

1 + 4 = 5

2 + 5 + 5 = 12

3 + 6 + 12 = 21

8 + 11 + 21 = 40

But you did not sum up some other sequence like 4+7, 5+8, 6+9,7+10, you are jumping to conclusions directly which is 8+11+21 = 40, if you include that sequence you will also come out 96 answer.

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