Question

3
A sister is 6 years older to her brother. Two thirds
of the sister's
.
How old are the brother and the
sister
of her brother's age Howears more than three-fourths​

Answer 1

Answer:

A sister is 6 years older than her brother. Two-thirds of the sister's age is three years more than three-fourths of her brother's age. How old are the brother and the sister?

A sister is 6 years older than her brother. Two-thirds of the sister's age is three years more than three-fourths of her brother's age. How old are the brother and the sister?

A sister is 6 years older than her brother

Let the brother age be x years, thus sister age will be x + 6

As per statement, two-thirds of the sister's age is three years more than three-fourths of her brother's age.

2/3 of (x + 6) = 3/4 of x + 3

Solving the equation, we know ‘of’ is used for multiplication.

2/3 (x + 6) = 3/4x + 3

2/3x + 2/3×6 = 3/4x + 3

2x/3 + 4 = 3x/4 + 3

2x/3 - 3x/4 = 3 - 4

(8x - 9x)/12 = - 1

-x / 12 = - 1

Cross multiplication

-x = - 12

x = - 12

x = 12

The brother's age is 12 years and the sister’s age x + 6 = 12 + 6 = 18 years

Answer the brother's age is 12 years and sister's age is 18 years

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

A sister is 6 year older than her brother

Let the brothers age be X year , thus sister age will be X+6

As per statement two - thirds of the sister age is three years more than three - fourths of her brother age

2/3 of (X+6) = 3/4 of X+3

Solving the equation we know that of is used for multiplication

2/3 (X+6) = 3/4x + 3

2/3x + 2/3×6 = 3/4x + 3

2x/3 + 4 = 3x/4+3

2x/3 - 3x/4 = 3-4

(8x - 9x )/12. = -1

-x/12 = -1

Cross Multiplication

-X = -12

X = -12

X = 12

The Brothers Age is 12 years and The Sister age X + 6 = 12 + 6 = 18 years.