one number added to three times another number is 24 five times the number added to three times the other number is 36 find the

Question

NemiM [27]

6 months ago

7

one number added to three times another number is 24 five times the number added to three times the other number is 36 find the

numbers

Mathematics

1 answer:

Dmitriy789 [7] · Answer 1 · 2024-06-26T08:44:02+03:00

The required numbers for the given case are 3 and 7 respectively.

<h3>How to solve a linear equation?</h3>

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

As per the given data the problem can be solved as follows,

Suppose the first number be x and the second be y.

Now, the equations can be formed as,

x + 3y = 24 (1)

5x + 3y = 36 (2)

Solve these equations by multiplying equation (1) by 5 and then subtract from (2) as below,

5x + 3y - 5(x + 3y) = 36 - 5 × 24

3y - 15y = -84

=> -12y = -84

=> y = 7

Substitute y = 7 in equation (1) to get,

x + 3 × 7 = 24