It + means ÷, – means ×, ÷ means + and × means –, then which of the following equations is
correct?
(1) 2 – 40 + 10 ÷ 6 × 8 = 5 (2) 20 ÷ 7 – 30 + 6 ÷ 2 = 43
(3) 10 – 2 ÷ 4 × 10 + 5 = 32 (4) 10 ÷ 5 – 4 × 18 + 13 = 24
Answers
Answer :
No one is correct equation.
Step-by-step explanation :
Given that ;
+ means ÷
- means ×
÷ means +
× means -
Now,
Coming to the equations ;
1) 2 – 40 + 10 ÷ 6 × 8 = 5
Let's simplify LHS first,
⇒ 2 × 40 ÷ 10 + 6 - 8
⇒ 2 × 4 + 6 - 8
⇒ 8 + 6 - 8
⇒ 14 - 8
⇒ 6
Here, 6 ≠ 5
Hence, this equation is incorrect.
_______________________
2) 20 ÷ 7 – 30 + 6 ÷ 2 = 43
Let's simplify LHS first,
⇒ 20 + 7 × 30 ÷ 6 + 2
⇒ 20 + 7 × 5 + 2
⇒ 20 + 35 + 2
⇒ 57
Here, 57 ≠ 43
Hence, this equation is incorrect.
_______________________
3) 10 – 2 ÷ 4 × 10 + 5 = 32
Let's simplify LHS first,
⇒ 10 × 2 + 4 - 10 ÷ 5
⇒ 20 + 4 - 2
⇒ 24 - 2
⇒ 22
Here, 22 ≠ 32
Hence, this equation is incorrect.
_______________________
4) 10 ÷ 5 – 4 × 18 + 13 = 24
Let's simplify LHS first,
⇒ 10 + 5 × 4 - 18 ÷ 13
⇒ 10 + 20 - 18 ÷ 13
⇒ 30 - 18 / 13
⇒ 372 / 13
⇒ 28.61
Here, LHS ≠ RHS
Hence, this equation is also incorrect.
_______________________
Conclusion : Not a single equation is correct according to the given conditions.
Here is your Solution!
Solution:
Given that,
+ means ÷
– means ×
÷ means +
× means –
Now,
(1) 2 – 40 + 10 ÷ 6 × 8 = 5
⇒ 2 × 40 ÷ 10 + 6 - 8 = 5
⇒ 2 × 4 + 6 - 8 = 5
⇒ 8 + 6 - 8 = 5
⇒ 14 - 8 = 5
Here, 6 ≠ 5
Hence, This equation is incorrect.
(2) 20 ÷ 7 – 30 + 6 ÷ 2 = 43
⇒ 20 + 7 × 30 ÷ 6 + 2 = 43
⇒ 20 + 7 × 5 + 2 = 43
⇒ 20 + 35 + 2 = 43
Here, 57 ≠ 43
Hence, This equation is also incorrect.
(3) 10 – 2 ÷ 4 × 10 + 5 = 32
⇒ 10 × 2 + 4 - 10 ÷ 5 = 32
⇒ 10 × 2 + 4 - 2 = 32
⇒ 20 + 4 - 2 = 32
⇒ 24 - 2 = 32
Here, 22 ≠ 32
Hence, This equation is also incorrect.
(4) 10 ÷ 5 – 4 × 18 + 13 = 24
⇒ 10 + 5 × 4 - 18 ÷ 13 = 24
⇒ 10 + 5 × 4 - 1.38 = 24
⇒ 10 + 20 - 1.38 = 24
⇒ 10 + 18.62 = 24
Here, 28.62 ≠ 24
Hence, This equation is also incorrect.
Conclusion: It proves that all the equations are incorrect.
Hope It Helps!