Question

the number of toffee with mark and Sam are in the ratio 11:13 which of the following cannot be number of toffee with mark and Sam together?
1) 75
2)120
3) 192
4)48​

Answer 1

Answer:

75

Step-by-step explanation:

11x+13x=24x

so, 48,120,192 are divisible 24 ,but not 75

that why the answer is 75.

Answer 2

Answer:

The number of toffee with Mark and Sam together cannot be 75.

The correct answer is option(1) 75.

Step-by-step explanation:

Before moving, we need to know the actual definition of ratio.

What is a Ratio?

The ratio is used to compare two quantities. It is the comparison between two numbers in relation to each other. It compares the numbers by division. The dividend in a division, i.e., the number that is being divided is known as the antecedent in a ratio. And the divisor, i.e, the number that is dividing is known as the consequent in a ratio.

Eg. In a group of 50 people, if 30 are men and 20 are women, the ratio of men to women can be written as 30:20. Simplifying, we can write it as 3:2. Here 3 is the antecedent and 2 is the consequent.

This can be written as $\frac{3k}{2k}$ where k is any constant.

Also, 3k + 2k = 5k

That is, the sum of the ratios is also a multiple of the constant.

Given:

Ratio of number of toffee with Mark and Sam = 11:13

i.e., the ratio can be expressed as, 11k : 13k

Number of toffee with Mark and Sam together 'or'

Sum of the ratios can be 11k + 13k = 24k

That is, Sum of the ratio must be a multiple of 24.

The options given are 75, 120, 192, and 48. Here,

• 120 is a multiple of 24. i.e., 24 × 5 = 120
• 192 is a multiple of 24. i.e., 24 × 8 = 192
• 48 is a multiple of 24. i.e., 24 × 2 = 48
• But 75 is not a multiple of 24

Therefore, 75 cannot be the number of toffee with Mark and Sam together.

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