Question

Rata-rata markah matematik untuk Amin, azman dan aziz adalah 73. Tanda Azman lebih 35 berbanding Amin manakala aziz dua kali ganda daripada Amun. Apakah tanda Amin?

Answer 1

The Amin's score in math was 46.

Explanation:

The question is:

The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?

Solution:

Let us denote that:

x = Amin's score in math

y = Azman's score in math

z = Aziz's score in math.

The average of x, y and z is, 73.

That is:

`(x+y+z)/(3)=73\\\\\Rightarrow x+y+z = 219`

Now it is provided that:

`y=x+35...(i)\\z=2x...(ii)`

Use the equations (i) and (ii) to determine the value of x as follows:

`x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46`

Thus, the Amin's score in math was 46.