Question

Harsha's score in Mathematics is 15 more than three-fourth of her score in science. If she scores x marks in Science, find her score in Mathematics.​

Answer 1

Question :

Harsha's score in Mathematics is 15 more than three-fourth of her score in science. If she scores x marks in Science, find her score in Mathematics.​

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Given :

Harsha's score in Mathematics is 15 more than three-fourth of her score in science. She scores x marks in Science.

To find :

Find her score in Mathematics.​

Solution :

Her score in science = x

∴ Three-fourth of x = (3/4) of x = 3x/4

Now her score in mathematics is 15 more than three-fourth of score in science.

So atq,

➠ Score in mathematics = 3x/4 + 15

If we take LCM as 4,

➠ Score in mathematics = 3x/4 + 15

➠ Score in mathematics = (3x + 60)/4

∴ She scores (3x/4 + 15) or, (3x + 60)/4 marks in mathematics.

Answer 2

Answer:

$Her \: science \: score= x \\ her \: mathematics \: score = \frac{3}{4} \times score \: in \: science + 15 \\ = \frac{3 x}{4} + 15 \\ = \frac{3x + 60}{4} (taking \: 4 \: as \: LCM) \\ = \frac{3x + 60}{4} \\ \\ \\ \\ \\ \\ \fbox {\pink{hope \: this \: helps...}}$