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The sum of two number is 90. The larger number is 14 more than 3 times the smaller number. Find the number

Questions:
1. What equation can be formed to determine the two numbers?
2. What method of solving systems of linear equation in two variables can best be applied to solve this problem?
3. What are the two numbers?​

Sagot :

KallesEliasidn

Problem:

The sum of two number is 90. The larger number is 14 more than 3 times the smaller number. Find the number

Solution:

Let x be the larger number

Let y be the smaller number

x + y = 90 equation 1

x = 3y + 14 equation 2

x + y = 90

3y + 14 + y = 90

4y = 90 - 14

4y = 76

y = 19

x = 3y + 14

x = 3(19) + 14

x = 57 + 14

x = 71

Checking:

x + y = 90

71 + 19 = 90

90 = 90 ; ok

x = 3y + 14

71 = 3(19) + 14

71 = 57 + 14

71 = 71 ; ok

Questions:

1. What equation can be formed to determine the two numbers?

A linear equations can be formed to determine the two numbers

2. What method of solving systems of linear equation in two variables can best be applied to solve this problem?

It can be solve by substitution method or elimination method

3. What are the two numbers?​

The two numbers are x = 71 and y = 19

(71, 19)

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