A magic pattern: take any two-digit number, reverse its digits, and add the two numbers. For 23: 23 + 32 = 55. For 41: 41 + 14 = 55. The sum is always a multiple of 11. What is the value of 36 + 63?

Question

Accepted Answer

99. 36 + 63 = 99, which is 11 x 9. A two-digit number ab and its reverse ba add to 11(a + b), always a multiple of 11.

A magic pattern: take any two-digit number, reverse its digits, and add the two numbers.
For 23: 23 + 32 = 55. For 41: 41 + 14 = 55.
The sum is always a multiple of 11. What is the value of 36 + 63?

Step-by-Step Solution

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More Class 6 Patterns and Rules practice

A magic pattern: take any two-digit number, reverse its digits, and add the two numbers.For 23: 23 + 32 = 55. For 41: 41 + 14 = 55.The sum is always a multiple of 11. What is the value of 36 + 63?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Patterns and Rules practice

A magic pattern: take any two-digit number, reverse its digits, and add the two numbers.
For 23: 23 + 32 = 55. For 41: 41 + 14 = 55.
The sum is always a multiple of 11. What is the value of 36 + 63?