If the first number is increased by 7 and the second number is reduced by 6 times, the sum of these numbers is 29. If the first number is reduced by 5 and the second number is i…

Question

asked Sep 25, 2023 151k views

1 Answer

KeithWM · Answer 1 · 2023-10-02T10:23:13+0000

Answer:

First number = 20

Second number = 12

Step-by-step explanation:

Let the 1st number be x

Let the 2nd number be y

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Condition 1

$\sf \rightarrow x + 7 + (y)/(6) = 29$

$\rightarrow \sf x=-(y)/(6)+22$

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Condition 2

$\rightarrow \sf 2y - (x - 5) = 9$

$\rightarrow \sf x = 2y -4$

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Substitute equations

$\rightarrow \sf -(y)/(6)+22 = 2y-4$

$\rightarrow \sf y=12$

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Find value of 1st number

$\rightarrow \sf x = 2y - 4$

$\sf \rightarrow x = 2(12) - 4$

$\rightarrow \sf x = 20$