The sum of Veronika's and Kate's weight is 118 pounds. Veronika weighs 26 pounds more than Kate. How much do they weigh individually?

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

Step-by-step explanation:

Let Veronika's weight = x

Let Kate's weight = y

The sum of Veronika's and Kate's weight is 118 pounds.

x + y = 118

Veronika weighs 26 pounds more than Kate.

x = y + 26

How much do they weigh individually?

We substitute y + 26 for x in Equation 1

x + y = 118

y + 26 + y = 118

26 + 2y = 118

2y = 118 - 26

2y = 92

y = 92/2

y = 46 pounds

x = y + 26

x = 46 + 26

x = 92 pounds

Hence,

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

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step-by-step explanation: