Question

the scores of nathan and adam in test are in the ratio of 5:9 if the score of adam is 72 then find the their total score

Answer 1

Step-by-step explanation:

let the scores of nathan and adam be 5x and 9x respectively.

given, score of adam is 72

hence, 9x=72

x=72/9=8

score of nathan =5x=5(8)=40

total score = 72+40=112

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Answer 2

The total of their score is 112.

GIVEN

The ratio of scores of Nathan and Adam in a test = 5:9

Scores of Adam = 72

TO FIND

The total score.

SOLUTION

We can simply solve the above problem as follows;

It is given that the ratio of scores of Nathan to Adam is 5:9.

This means that the 5 times the score Nathan is equal to 9 times the score of Adam.

Therefore,

$\frac{score \: of \: nathan}{score \: of \: adam} = \frac{5}{9}$

We know that,

The score of Adam = 72

So,

$\frac{score \: of \: nathan}{72} = \frac{5}{9}$

On cross multiplication;

9 × Score of Natha = 5 × 72

The score of Nathan = 5×72/9 = 40

So,

Score of Nathan is 40.

The total score = Score of Nathan + score of Adam.

= 40 + 72

= 112.

Hence, The answer is 112.

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