Answer :
Marks obtained are 33 and 45 when two students took an exam. one of them achieved 9 marks more than the other and his marks were 56% of the sum of both of their marks.
Define algebraic equation.
Similar to this, we are describing an algebraic expression when we explain an expression in words that has a variable (an expression with a variable). For instance, the algebraic expression for "3 more than x" can be written. x + 3 . Variables can be written straight after a regular integer in algebraic expressions that use them, with no symbol needed in between. An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x²+ 2xy + c.
Given,
Two students took an exam. one of them achieved 9 marks more than the other and his marks were 56% of the sum of both of their marks.
Let the marks be x and x+9
Algebraic equation,
x+ 9 = 56/100(x+x+9)
x + 9 = 14/25 (2x +9)
25(x+ 9) = 14(2x+9)
25x + 225 = 28x +126
28x - 25x = 225 - 126
3x = 99
x = 33
Marks obtained are 33 and 45.
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