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iren2701 [21]
3 years ago
10

2 numbers are in the ratio 1:2 if the first number is decreased by 5 and second number is increased by 4 their ratio becomes 5:4

find the two numbers
WILL MARK BRAINLEST ONLY ASSWER IF YOU KNOW​
Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

Answer:

-20/3 & -40/3

Step-by-step explanation:

Let’s say that the 1st number is X and the 2nd number is Y.

Given that x:y = 1:2 => x/y = 1/2 => 2x = y

and a-5/y+4 = 5/4 (The first number is decreased by 5 and the second number is increased by 4.)

=> 4(x - 5) = 5 (y + 4)

=> 4x - 20 = 5y + 20

=> 4x - 5y = 40

As, 2x = y , 4x = 2y

=> 2y - 5y = 40

=> -3y = 40

=> y = -40/3 ; x = y/2 = -20/3

This might be confusing but I hope this helps :)

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The missing factor is 1 5/8

<u>Step-by-step explanation:</u>

Let us consider the missing factor has 'x'

The given expression is 4 1/2 - x = 2 7/8

<u>To find x :</u>

The first step is to bring all the constant terms on on side and x on the other side,

⇒ 4 1/2 - 2 7/8 = x

Now, the numbers are in improper fraction (mixed fraction). So you have to convert them into proper fraction.

To convert the improper fraction 4 1/2 into proper fraction,

Multiply the denominator 2 with 4 and the result 8 is added with the numerator 1.

⇒ 4 1/2 = 9/2.

To convert the improper fraction 2 7/8 into proper fraction,

Multiply the denominator 8 with 2 and the result 16 is added with the numerator 7.

⇒ 2 7/8 = 23/8.

Now replace them in the given expression. The expression becomes as :

⇒ (9/2) - (23/8) = x

Cross multiply 2 and 8,

⇒ (72 - 46) / 16 = x

⇒ 26 / 16 = x

⇒ 13/8 = x

The x value is 13/8. You have to convert it into mixed fraction (since the question is given in the form of mixed fraction).

<u>To convert into mixed fraction,</u>

Divide 13 by 8 and write them in the form of Quotient (Reminder / Divisor).

⇒ 13 ÷ 8

⇒ 1 (quotient)

⇒ 5 (remainder)

The divisor is 8.

Therefore, x = 13/8 can be written as 1 5/8.

The missing factor is 1 5/8.

8 0
3 years ago
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