In an examination adenike obtained 19 marks more than musa. If adenike had obtained one and a half time her own Mark, she would have score 6 marks more than twice musa's Mark. Find marks scored by each of them

Answer 1

a = adenike's score

m = musa's score

In an examination adenike obtained 19 marks more than musa means:

a = m + 19

If adenike had obtained one and a half time her own mark, she would have score 6 marks more than twice musa's mark means:

1.5 a = 2 m + 6

Replace a by m + 19 in this equation.

1.5 ( m + 19 ) = 2 m + 6

1.5 m + 28.5 = 2 m + 6

Subtract 1.5m to both sides.

28.5 = 0.5 m + 6

Subtract 6 to both sides.

22.5 = 0.5 m

Multiply both sides by 2.

45 = m

m = 45

Musa scored 45

a = m + 19 = 45 + 19

a = 64

Adenike scored 64