The product of two numbers is greater than 80 but less than 85. The sum of the two numbers is a multiple of 10. The difference between the two numbers is 24.
- Find the two numbers. Give your answers in the following format. (Eg 1, 2)
- Find the product of the two numbers.
(a)
Number greater than 80 and less than 85: 81, 82, 83 and 84
List the factors of 81, 82, 83 and 84.
81 = 1 x 81
81 = 3 x 2781 = 9 x 9
82 = 1 x 82
82 = 2 x 41
83 = 1 x 83
84 = 1 x 84
84 = 2 x 42
84 = 3 x 28
84 = 4 x 21
84 = 6 x 14
84 = 7 x 12
| |
Sum |
Multiple of 10 |
Difference |
Difference is 24 |
| 81 = 3 x 27 |
3 + 27 = 30 |
Yes |
27 - 3 = 24 |
Yes |
| 84 = 6 x 14 |
6 + 14 = 20 |
Yes |
14 - 6 = 8 |
No |
Two numbers: 3, 27
(b)
Product of the two numbers: 81
Answer(s): (a) 3, 27; (b) 81
