Question

4. The product of two numbers 4 and 13 is 52. So, 52 is a​

Answer 1

Answer:

Let n = the larger number, and ...

Let n - 10 = the smaller number.

Since the sum of these two numbers is 52, we can write the following equation:

n + (n - 10) = 52

n + n - 10 = 52

2n - 10 = 52

2n - 10 + 10 = 52 + 10

2n + 0 = 62

2n = 62

(2n)/2 = 62/2

(2/2)n = 62/2

(1)n = 31

n = 31

Therefore, ...

n - 10 = 31 - 10 = 21

CHECK:

n + (n - 10) = 52

31 + 21 = 52

52 = 52

Answer 2

Answer:

Let n = the larger number, and ...

Let n - 10 = the smaller number.

Since the sum of these two numbers is 52, we can write the following equation:

n + (n - 10) = 52

n + n - 10 = 52

2n - 10 = 52

2n - 10 + 10 = 52 + 10

2n + 0 = 62

2n = 62

(2n)/2 = 62/2

(2/2)n = 62/2

(1)n = 31

n = 31

Therefore, ...

n - 10 = 31 - 10 = 21

CHECK:

n + (n - 10) = 52

31 + 21 = 52

52 = 52

Therefore, the larger number is 31, and the smaller number is 21.

Step-by-step explanation: