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A loan is divided into two installments, with an annual interest rate of 10% in one installment and 8% in the other, with an annual interest of 4,400 yuan.
Suppose two loans are X and Y, then

10%X+8%Y=4400 ( 1)

8%X+ 10%Y=4400+200 (2)

(2) Formula -( 1)

2%Y-2%X=200

Y-X= 10000

Y= 10000+X (3)

Substitute (1)

10% X+8% *( 10000+X)= 4400

18%x=4400-800

x=20000

Substitute into equation (3)

y= 10000+20000=30000

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