Question

8. Two numbers are in the ratio 5:9 and their difference is 24. Find the numbers.
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Answer 1

Answer:

The numbers are -30 and -54

Step-by-step explanation:

Let the numbers be x and y.

Given,

x - y = 24

x = y + 24 .... (1)

x : y = 5 : 9

x/y = 5/9 ... (2)

Using (1) in (2)

(y + 24)/y = 5/9

9y + 24*9 = 5y

4y = -24*9

y = -54

Solving for x in (1),

x = y + 24 = -54 + 24 = -30

Answer 2

Step-by-step explanation:

RATIO IS 5:9

RATIO IS 5:9DIFFERENCE IS 24

RATIO IS 5:9DIFFERENCE IS 24LET THE COMMON FACTOR BE "X"

RATIO IS 5:9DIFFERENCE IS 24LET THE COMMON FACTOR BE "X"SO, 9x-5x=4x

RATIO IS 5:9DIFFERENCE IS 24LET THE COMMON FACTOR BE "X"SO, 9x-5x=4x4x=24

RATIO IS 5:9DIFFERENCE IS 24LET THE COMMON FACTOR BE "X"SO, 9x-5x=4x4x=24x=6

RATIO IS 5:9DIFFERENCE IS 24LET THE COMMON FACTOR BE "X"SO, 9x-5x=4x4x=24x=6SO, 6×5=30

RATIO IS 5:9DIFFERENCE IS 24LET THE COMMON FACTOR BE "X"SO, 9x-5x=4x4x=24x=6SO, 6×5=30 9×6=54

RATIO IS 5:9DIFFERENCE IS 24LET THE COMMON FACTOR BE "X"SO, 9x-5x=4x4x=24x=6SO, 6×5=30 9×6=54ANSWER) THE TWO NUMBERS ARE 30 AND 54