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Based on the Census, state A has 12 fewer electoral votes for President than state B. If the total number of electoral votes for these two states is 82, find the number for each state.

Based on the Census state A has 12 fewer electoral votes for President than state B If the total number of electoral votes for these two states is 82 find the n class=

Respuesta :

Let

x ------> number of electoral votes for state A

y ------> number of electoral votes for state B

so

we have

x=y-12 -------> equation 1

x+y=82 ------> equation 2

solve the system

substitute equation 1 in equation 2

(y-12)+y=82

solve for y

2y=82+12

2y=94

y=47

Find the value of x

x=47-12

x=35

therefore

number of electoral votes for state A is 35

number of electoral votes for state B is 47