Question

The ratio of two number x and y is 4:7 and x is increased by 25% and 3 is added to it y is doubled and 3 is added to it the ratio of the resultant x to resultant y becomes 2:5 what is the original value of y

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The original value of y is 21.

Step-by-step explanation:

Consider the provided information.

The ratio of two number x and y is 4:7

$\dfrac{x}{y} =\dfrac{4}{7}$

$x=\dfrac{4y}{7}$

x is increased by 25% and 3 is added to it y is doubled and 3 is added to it the ratio of the resultant x to resultant y becomes 2:5

$\dfrac{x+\frac{25}{100}x+3}{2y+3} =\dfrac{2}{5}$

Simplify the equation.

$\dfrac{1.25x+3}{2y+3} =\dfrac{2}{5}\\\\5(1.25x+3)=2(2y+3)\\\\6.25x+15=4y+6$

Substitute the value of x.

$6.25\times\dfrac{4y}{7}+15=4y+6\\\\25y+105=28y+42\\\\3y=63\\\\y=21$

Hence, the original value of y is 21.

#Learn more

The ratio of two positive numbers (X and Y) is 3:5. when 2 is added to both the numbers the ratio of X to Y becomes 5:8 . what is the difference between both the numbers.

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