Question

The sum of two numbers is 51. Four times the smaller number is 24 more than the larger number. What are the numbers?

Answer 1

Answer:

15 and 36

Step-by-step explanation:

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Answer 2

The smaller number is 15 and larger number is 36.

Step-by-step explanation:

Let,

Smaller number = x

Larger number = y

According to given statement;

The sum of two numbers is 51.

x+y = 51     Eqn 1

Four times the smaller number is 24 more than the larger number.

4x = y+24  

4x - 24 = y

y = 4x-24     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$x+(4x-24)=51\\x+4x-24=51\\5x=51+24\\5x=75$

Dividing both sides by 5

$\frac{5x}{5}=\frac{75}{5}\\x=15$

Putting x=15 in Eqn 2

$y=4(15)-24\\y=60-24\\y=36$

The smaller number is 15 and larger number is 36.

Keywords: linear equation, substitution

Learn more about linear equations at:

• brainly.com/question/9720317
• brainly.com/question/9621364

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