Answered

1. the sum of two consecutive numbers is 83. what is the bigger number?

2. the sum of 3 consecutive odd numbers is 195. find the bigger number.

3. if one-third of a number is one more than one-fourth the number, find the number.

4. the sum of two numbers is 20. if three-fourths of the smaller number is two less than two-thirds of the bigger number, find the smaller number.

with formula sana hehe​

Sagot :

Kringsnrid

Answer:

1) 42

2) 67

3) -12

Step-by-step explanation:

1) Let

First integer= x.

Second integer= x+1

Solution:

x+(x+1)=83

2x+1=83

2x=82

x=41

x+1=42

∵ 42 is the bigger number

Check:

41+42= 83

Consecutive numbers? Yes.

2) Since every odd integer would be 2 units away from each other the consecutive odd integers are x, x+2, x+4

Since we know the sum is 195, we can say that

x + (x+2) + (x+4) = 195

3x+6 = 195

3x = 189

x = 63

Hence, the other two odd numbers are x+2 = 65 and x+4= 67

∴ 67 is the biggest number

3) Let that number be x

Given:  

x/3 = x/4 - 1

x/3 = x - 4/4

4x/3 = x - 4

4x = 3x-12

x = -12

∴ The number is -12