Question

Milestone 2
Directions for questions 1 to 18: Solve the following problems.
A number when increased by 3 is equal to 12. Find the number.
Twice a number exceeds its three-fourth by 15. Find the number.
Find three consecutive integers whose sum is 27.
The difference of a number and its three-fourth is 5. Find the number.
Three consecutive even numbers are such that the largest of them is twice the smallest. Find
the second largest number among the three.
The sum of three consecutive odd numbers is 45. Find the numbers
7. The sum of a number and its half is equal to 24. Find the number.
8. Two numbers are in the ratio 5:7. If they differ by 42, find the numbers.
N 0001
The perimeter of an equilateral triangle is 5
cm. Find the length of its each side.
10.
The base and perimeter of an isosceles triangle are 3- cm and 12 cm. Find the length of each
of its equal sides.
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Answer 1

Answer:

Step-by-step explanation:

1. let the number be x

x+3=12

x=9

2. 2x=(3x/4)+15

5x/4=15

x=12

3. x+x+1+x+2=27

3x+3=27

3x=24

x=8

4. x-3x/4=5

x/4=5

x=20

5. let the even numbers be n, n+2,n+4

largest of them=n+4

n+4=2(n)

n=4

so the numbers are 4,6,8

6.odd numbers is n,n+2,n+4

3n+6=45

3n=39

n=13

13,15,17.

7. n+(n/2)=24

3n/2=24

n=16

8. x/y=5/7

y-x=42

2y/5=42

y=105

x=75

9. 3a=5

a=5/3

10. 2b+a=12

2*3+a=12

a=6

b=3