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3 years ago

The ratio of two numbers is 4:9. When 5 is subtracted from each of them the new ratio becomes 3:8. Find the numbers.

Mathematics

1 answer:

natta225 [31]3 years ago

8 0

Answer:

FIRST NUMBER IS 20

AND

SECOND NUMBER IS 45

Step-by-step explanation:

LET THE RATIO BE X

FIRST NUMBER = 4X

SECOND NUMBER = 9X

A/Q,

=}4X - 5 / 9X - 5 = 3 / 8

CRISS CROSS,

=}8 ( 4X - 5 ) = 9X - 5 ( 3 )

=}32X - 40 = 27X - 15

=}32X - 27X = - 15 + 40

=}5X = 25

=}X = 25 / 5

=}X = 5

THEREFORE,

FIRST NUMBER

=} 4X

=} 5 × 4

=} 20

SECOND NUMBER

=} 9X

=} 5 × 9

=} 45

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3 years ago

Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step

Lilit [14]

Answer: First option.

Step-by-step explanation:

The complete exercise is attached.

In order to solve this exercise, it is necessary to remember the following property:

The Multiplication property of Equality states that:

$If\ a=b\ then\ a*c=b*c$

In this case, the equation that Jada had is the folllowing:

$-\frac{4}{9}=\frac{x}{108}$

Jada needed to solve for the variable "x" in order to find its value.

The correct procedure to solve for for "x" is to multiply both sides of the equation by 108. Then, you get:

$(108)(-\frac{4}{9})=(\frac{x}{108})(108)\\\\-48=x$

As you can notice in the picture, Jada did not multiply both sides of the equation by 108, but multiplied the left side by $-\frac{4}{9}$ <em> </em>and the right side by $-\frac{9}{4}$ .