Math, asked by karunashankerkori99, 3 months ago

sum of two number is 36 . If 9 is sabtracted from 8 times the first number ,we get second number . to find the number . complete the following.​

Answers

Answered by yummyrajput05
0

Answer:

here is your answer

hope this is helpful

sorry if incorrect

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Answered by Dinosaurs1842
3

Given :-

Sum of two numbers is 36

If 9 is subtracted from 8 times the first number, we get the second number.

Aim :-

To fins the two numbers

Answer :-

According to the question,

First number + Second number = 36

Let the first number be, say y.

The second number = (8×y) - 9 → 8y - 9

Substituting these values in the equation,

y + 8y - 9 = 36

Adding the like terms,

→ 9y - 9 = 36

Transposing (-9) to the RHS (Right Hand Side),

→ 9y = 36 + 9

→ 9y = 45

Transposing 9 to the RHS (Right Hand Side),

 \implies \sf y =  \dfrac{45}{9}

Reducing to the lowest terms

→ y = 5

Therefore,

First number = 5

Second number = (8×5) - 9 → 36

Verification :-

Let us verify the values of the numbers by substituting it in the equation and checking.

LHS (Left Hand Side) :-

→ 31 + 5

→ 36

LHS (Right Hand Side) :-

→ 36

LHS = RHS

HENCE VERIFIED.

The numbers are 5 and 31 respectively

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