The first part has 659 pages and second part has 723 pages.
Step-by-step explanation:
Given,
Total pages of Algebra text = 1382 pages
Let,
x be the number of pages of first part
y be the number of pages of second part
According to given statement;
x+y=1382 Eqn 1
y = x+64 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
[tex]x+(x+64)=1382\\x+x+64=1382\\2x=1382-64\\2x=1318[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{1318}{2}\\x=659[/tex]
Putting x=659 in Eqn 2
[tex]y=659+64\\y=723[/tex]
The first part has 659 pages and second part has 723 pages.
Keywords: linear equation, substitution method
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