Question

1. If 8 is subtracted from half of a number, the answer is 13. What is the number?
a. Mathematical equation:
b. Solution:
c. Answer to the problem:
2. If a number is divided by 6, the answer is 78. What is the number?
a. Mathematical equation:
b. Solution:
c. Answer to the problem:​

Answer 1

Answer:

1.x - 8 =13

Step-by-step explanation:

x=13+8

x = 21

according to question

21 ×2= 42

this answer is correct I hope

Answer 2

Given,

1. If 8 is subtracted from half of a number, the answer is 13.

2. If a number is divided by 6, the answer is 78.

To find,

The mathematical equation, solution and answer of the two given problems.

Solution,

The mathematical equation and answer of the two given problems will be (x/2 - 8 = 13), x = 42 and y/6 = 78, y = 468 respectively.

According to the question,

1. If 8 is subtracted from half of a number, the answer is 13.

Let's take the number to be x.

Half of this number is x/2.

Converting this into algebraic expression:

(x/2)-8 = 13

Moving 8 from the left-hand side to the right-hand side will result in the change of the sign from minus to plus,

x/2 = 13+8

x/2 = 21

Using the cross multiplication method,

x = 2×21

x = 42

2. If a number is divided by 6, the answer is 78.

Let's take the number to be y.

Converting this into algebraic expression:

y/6 = 78

Using the cross multiplication method,

y = 6×78

y = 468

Hence, the mathematical equation and answer of the two given problems will be (x/2 - 8 = 13), x = 42 and y/6 = 78, y = 468 respectively.