Question

The sum of two integers is 24. If one is 3 less than twice the other, what will be the greater numbers ?

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Answer 1

Answer:

15

Step-by-step explanation:

Let one of the number be = n

so the other no. = 2n - 3

According to question,

24= 2n - 3 + n

24 + 3 = 2n + n

27 = 3n

27/3 = n

n = 9

One number (n) = 9

Other number (2n - 3) = 2(9) - 3

= 18 - 3

= 15

Hence , the greater number is 15

Answer 2

Answer:

Greater number = 15

Step-by-step explanation:

Given :

Sum of two integers = 24

One is 3 less than other

To find :

The greater number

Concept :

Let the integer be x

So , the equation will form like this -:

$\boxed{\sf{2x+x-3=24}}$

After that to find the value of x that will be the smaller number . So , after subtract the sum with two integers with the value of x .

Solution :

$\leadsto\sf{2x+x-3=24}$

$\leadsto\sf{3x-3=24}$

$\leadsto\sf{3x=24+3}$

$\leadsto\sf{3x=27}$

$\leadsto\sf{x=\dfrac{\cancel{27}}{\cancel{3}}}$

$\leadsto\sf{x=9}$

So , the first number or the smaller number is 9 .

Greater or second number -:

$\leadsto\sf{24-9}$

$\leadsto\sf{15}$

Greater number is 15 .