document.write( "Question 632980: The sum of two numbers is 45. Twice the smaller number is three more the larger number. What is the product of the two numbers? \n" ); document.write( "
Algebra.Com's Answer #398614 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let x be the smaller and y be the larger number \n" ); document.write( "The sum of two numbers is 45 \n" ); document.write( "x+y=45 \n" ); document.write( "x=45-y........(1) \n" ); document.write( "Twice the smaller number is three more the larger number. \n" ); document.write( "2x=y+3.............(2) \n" ); document.write( "Substitute the value of x from (1) to (2) \n" ); document.write( "2(45-y)=y+3 \n" ); document.write( "90-2y=y+3 \n" ); document.write( "-2y-y=3-90 \n" ); document.write( "-3y=-87 \n" ); document.write( "-3y/-3=-87/-3 \n" ); document.write( "y=29 \n" ); document.write( "Put the value of y in (1) \n" ); document.write( "x=45-y........(1) \n" ); document.write( "x=45-29 \n" ); document.write( "x=16\r \n" ); document.write( "\n" ); document.write( "Numbers are 16 and 29\r \n" ); document.write( "\n" ); document.write( "Product of the numbers = 16*29=464\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |