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the ratio of two numbers is 7;3.there sum is 150

Sagot :

Answer:

7×21=140

3×5=15

Step-by-step explanation:

kayo na bhala

Let x1 and y1 be the two numbers of the first ratio

X(1) = 7

Y(1) = 3

Let x(2) and y(2) be the two numbers of the second ratio. Let z be the common factor

X(2) = 7z

Y(2) = 3z

Equation:

X(2) + Y(2) = 150

Substitute the given values

[tex]7z + 3z = 150 \\ 10z = 150 \\ \frac{10z}{10} = \frac{150}{10} \\ z = 15[/tex]

Substitute z to the values of the second ratio

[tex]x = 7(15) \\ x = 105 \\ [/tex]

[tex]y = 3(15) \\ y = 45[/tex]

Check:

[tex]x + y = 150 \\ 105 + 45 = 150 \\ 150 = 150[/tex]

Therefore,

The two numbers are 105 and 45.

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