write ans 10. please fast
Answers
QUESTIONS:
- a) The sum of two rational numbers is -¾ . If one number is -28/3 the find the other
- b) The sum of two rational numbers is -3 . If one of the numbers is 7/8 . Find the other
ANSWER:
a)sol:-
Given
- Sum of two rational numbers is -¾
- One of the number is -28/3
TO FIND:
Find the other number
Let the given rational numbers be x, y
Given x = -28/3
Then find y
→ x + y = -¾
→ -28/3 + y = -¾
→ y = -¾ + 28/3
→ y = 28/3 - 3/4
→ y = 28(4)/3(4) - 3(3)/4(3)
→ y = 112/12 - 9/12
→ y = 112-9/12 = 103/12
♦ y = 103/12
Hence , the other number is 103/12
VERIFICATION:
Substituting y = 103/12
In the given equation
x + y = -¾
Taking LHS
-28/3 + 103/12
→ -28(4)/3(4) + 103/12
→ - 112/12 + 103/12
→ -112 + 103/12
♦ -¾
LHS = RHS
Hence verified
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b)sol:-
Given
- Sum of two numbers is -3
- One of the number is ⅞ then find the other
Let the two numbers be x , y
Given , x = ⅞
Then find y
→ x + y = - 3
→ ⅞ + y = -3
→ y = - ⅞ - 3
→ y = -7-24/8
→ y = -31/8
♦ y = -31/8
Hence , the other number is -31/8
VERIFICATION:
Substituting the value of y in the given equation
x + y = -3
→ ⅞ -31/8 = -3
Taking LHS
→ 7 - 31/8
→ - 24/8
→ -3
LHS = RHS
Hence verified