Question

One number is 4 more than another and their sum is 60.

If x = the larger number and y = the smaller number, then which of the following is the value of the smaller number?



28
26
32

Answer 1

The smaller number is 28.

Answer:

Solution Given:

let the smaller number be a.

and larger number be a+4.

By question

a+(a+4)=60

a+a+4=60

2a=60-4

2a=56

a=$\frac{56}{2}$

a=28

Answer 2

Answer:

y = 28

Step-by-step explanation:

Given variables:

• x = the larger number
• y = the smaller number

Create two equations with the given information.

Equation 1

If one number is 4 more than another, then:

⇒ x = y + 4

(Remembering that x is the larger number and y is the smaller number).

Equation 2

If their sum is 60, then:

⇒ x + y = 60

Substitute Equation 1 into Equation 2 and solve for y:

⇒ (y + 4) + y = 60

⇒ 2y + 4 = 60

⇒ 2y + 4 -4 = 60 - 4

⇒ 2y ÷ 2 = 56 ÷ 2

⇒ y = 28

Therefore, the value of the smaller number (y) is 28.

Learn more about systems of equations here:

https://brainly.com/question/27931586

https://brainly.com/question/27357423