Question

In a test, Tom gets twice the marks as that of Ram. Two times Tom's marks and three times Ram's marks make 280. Find the marks obtained by Tom.​

Answer 1

Answer:

Tom obtained 45 marks

Step-by-step explanation:

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Answer 2

Answer:

The marks obtained by Tom was 80.

Step-by-step explanation:

Given,Tom gets twice the marks as that of Ram.

Let marks of Ram be x.

So, marks of Tom be 2x.

Again given that,

Two times Tom's marks and three times Ram's marks make 280.

$2 \times 2x + 3 \times x = 280 \\ 4x + 3x = 280 \\ 7x = 280 \\ x = \frac{280}{7} \\ x = 40$

Therefore marks of Ram is 40 and marks of Tom is (2×40) = 80.

This is a problem of Algebra.

Some important Algebra formulas:

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} \\ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} \\ {(x + y)}^{3} = {x}^{3} + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} \\ {x}^{3} + {y}^{3} = {(x + y)}^{3} - 3xy(x + y) \\ {x}^{3} - {y}^{3} = {(x - y)}^{3} + 3xy(x - y) \\ {x}^{2} - {y}^{2} = (x + y)(x - y) \\ {x}^{2} + {y}^{2} = {(x - y)}^{2} + 2xy \\ {x}^{2} - {y}^{2} = {(x + y)}^{2} - 2xy \\ {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} ) \\ {x}^{3} + {y}^{3} = (x - + y)( {x}^{2} - xy + {y}^{2} )$

Know more about Algebra,

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