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The sum of two numbers is 90. The larger
number is 14 more than 3 times the smaller
number. Find the numbers.
First complete the equations below, where x stands for
the larger number and y stands for the smaller number.
x + y = [?]; x = + ly

Respuesta :

KimYurii

Step-by-step explanation:

Let the larger number be x and smaller number be y.

→ Sum of two numbers = 90

→ x + y = 90_(1)

Also,

→ Larger number = 14 + 3(Smaller number)

→ x = 14 + 3y_(2)

Substitute the value of x from equation (2) to (1) :

→ x + y = 90

→ 14 + 3y + y = 90

→ 14 + 4y = 90

→ 4y = 90 - 14

→ 4y = 76

→ y = 76 ÷ 4

→ y = 19

And, from the equation (2) ;

→ x = 14 + 3y

→ x = 14 + 3(19)

→ x = 14 + 57

→ x = 71

Therefore, larger number is 71 and smaller number is 19.

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