High School

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The sum of two numbers is 1130. Their difference is 470.

Write a system of equations that could be used to find the value of the two numbers, then find the value of the smallest number.

A. 300
B. 330
C. 180
D. 500

Answer :

Answer:

x = 800 and y = 330

Step-by-step explanation:

Let two numbers be x and y.

Sum of two numbers is 1130.

Their difference is 470.

So,

x+y=1130 ...(1)

x-y = 470 ...(2)

Add equation (1) and (2).

x+y+x-y = 1130+470

2x = 1600

x = 800

Put the value of x in equation (1)

800+y=1130

y = 1130-800

y = 330

So, the smallest number is 330 and the largest number is 800.

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Rewritten by : Jeany