Question

In a mathematics test, Jack scored 17 marks more than Yazid while Susan scored is twice of Yazid score. If their total score is 161, what is Jack score?​

Answer 1

Lovely algebra.

Given that Jack scored a number that is 17 more than Yazid's number,

1) Jack = x + 17

So we know yazid has 17 less than jack so we minus 17 from jack's equation. (x + 17) - 17 = x

2) Yazid = x

It is also given that Susan scored twice of Yazid's score therefore we can multiply Yazid's equation.

3) Susan = 2(x)

= 2x

Finally, it tells us that everyone's score added up is 161 therefore we can write the whole equation like this:

4) (x+17)+(x)+(2x) = 161

Now simplify

5) 4x + 17 = 161

Solve x by subtracting 17 from both sides.

6) 4x = 161-17

4x = 144

So x= 144/4

X=36

Now remember, Jack's equation was (x+17) so we are now able to substitute x into the equation. Since we found x = 36,

Jack = (36 + 17)

Which equals to 53.

So jack's score was 53!