The product of two numbers is greater than 60 but less than 65. The sum of the two numbers is a multiple of 4. The difference between the two numbers is 2.
- 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 60 and less than 65: 61, 62, 63 and 64
List the factors of 61, 62, 63 and 64.
61 = 1 x 61
62 = 1 x 62
62 = 2 x 31
63 = 1 x 63
63 = 3 x 21
63 = 7 x 964 = 1 x 64
64 = 2 x 32
64 = 4 x 16
64 = 8 x 8
| |
Sum |
Multiple of 4 |
Difference |
Difference is 2 |
| 63 = 1 x 63 |
1 + 63 = 64 |
Yes |
63 - 1 = 62 |
No |
| 63 = 3 x 21 |
3 + 21 = 24 |
Yes |
21 - 3 = 18 |
No |
| 63 = 7 x 9 |
7 + 9 = 16 |
Yes |
9 - 7 = 2 |
Yes |
| 64 = 4 x 16 |
4 + 16 = 20 |
Yes |
16 - 4 = 12 |
No |
| 64 = 8 x 8 |
8 + 8 = 16 |
Yes |
8 - 8 = 0 |
No |
Two numbers: 7, 9
(b)
Product of the two numbers: 63
Answer(s): (a) 7, 9; (b) 63
