Question

Two numbers are in the ratio 3:5. If each number is increased by 4, the ratio becomes 5:7. (a) Calculate x. (b) Find the sum of the numbers.

Answer 1

Answer:

Hey mate here is your answer

Step-by-step explanation:

Let the ratio of the numbers be 3x and 5x .

Let the ratio of the numbers be 3x and 5x .If each number is increased by 10 .

Let the ratio of the numbers be 3x and 5x .If each number is increased by 10 .then ,

Let the ratio of the numbers be 3x and 5x .If each number is increased by 10 .then ,\frac{3x + 10 }{5x + 10} = \frac{5}{7}5x+103x+10=75

Let the ratio of the numbers be 3x and 5x .If each number is increased by 10 .then ,\frac{3x + 10 }{5x + 10} = \frac{5}{7}5x+103x+10=7521 x + 70 = 25 x + 50

Let the ratio of the numbers be 3x and 5x .If each number is increased by 10 .then ,\frac{3x + 10 }{5x + 10} = \frac{5}{7}5x+103x+10=7521 x + 70 = 25 x + 5021x - 25 x = 50 - 70

Let the ratio of the numbers be 3x and 5x .If each number is increased by 10 .then ,\frac{3x + 10 }{5x + 10} = \frac{5}{7}5x+103x+10=7521 x + 70 = 25 x + 5021x - 25 x = 50 - 70-4x = -20

Let the ratio of the numbers be 3x and 5x .If each number is increased by 10 .then ,\frac{3x + 10 }{5x + 10} = \frac{5}{7}5x+103x+10=7521 x + 70 = 25 x + 5021x - 25 x = 50 - 70-4x = -20x = 5 .

Let the ratio of the numbers be 3x and 5x .If each number is increased by 10 .then ,\frac{3x + 10 }{5x + 10} = \frac{5}{7}5x+103x+10=7521 x + 70 = 25 x + 5021x - 25 x = 50 - 70-4x = -20x = 5 .Then , Numbers are 15 and 25 .

Let the ratio of the numbers be 3x and 5x .If each number is increased by 10 .then ,\frac{3x + 10 }{5x + 10} = \frac{5}{7}5x+103x+10=7521 x + 70 = 25 x + 5021x - 25 x = 50 - 70-4x = -20x = 5 .Then , Numbers are 15 and 25 .Sum of The Numbers = 15 + 25 = 40.

Answer 2

x=2

The sum of the Numbers = 11

Explanation:

Given:

1. Two numbers are in the ratio 3:5

2. Each number is increased by 4

3. The ratio becomes 5:7

To find:

1. The value of x

2. The sum of the numbers

Solution:

==> Ratio of two numbers = 3:5

==> The two numbers are 3x and 5x

==> The two numbers are increased by 4

==> 3x+4 : 5x:4   ==>1

==> The ratio become 5:7

==> 3x+4 : 5x:4   = 5:7

==> The ratio can be written as a fraction

==> $\frac{3x+4}{5x+4} =\frac{5}{7}$

==> Doing Cross Multiplication,

==> 7(3x+4) = 5(5x+4)

==> 21x+28 = 25x+20

==> Separating x value and constant

==> 25x-21x = 28-20

==> 4x = 8

==> x = 8÷ 4

==>x=2

==> The two numbers are 3x and 5x

==> The two numbers are 6 and 5

==> The Sum of the numbers = 6+5

==> The Sum of the numbers = 11