Question

2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2 marks) Let Then represent the first number will represent the second number b) What is the equation that represents the above situation? (2 marks) c) Solve the equation. (2 marks)

Answer 1

Larger number = 34

Smaller number = 17

Explanation:

Given that:

Sum of numbers = 51

Let,

x be the larger number

y be the smaller number

According to given statement;

x+y=51 Eqn 1

x = 2y Eqn 2

Putting x=2y in Eqn 1

2y+y=51

3y=51

Dividing both sides by 3

`(3y)/(3)=(51)/(3)\\y=17`

Putting y=17 in Eqn 2

x=2(17)

x=34

Hence,

Larger number = 34

Smaller number = 17