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1QZ A two digit number is 5 times the sume of itdigit and also equal to 5 more than twice the produs:Las its digits. Find the number.

Answer»

,the 2 digit number be 10x+y, given: 10x+y=5(x+y); 10x+y=5x+5y=5x-4y______(1) 10x+y=5+2xy , put y=5x/4 from equation (1), 10x+5x/4=5+2x)5x/4) , (45x)/4=5+(5x^2)/2; 45x=20+10x^2; 10x^2-45x+20=5(2x^2-9x+4); 2x^2-9x+4=( x-4)(2x-1)



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