5) Instead of multiplying a number by
2/3, saran divide it by 2/3, leads to a
difference of 45 in final outcome.
What is the number? *
O (a) 64
O (b) 66
O (c) 54
0 (d) 58
Answers
Given :- Instead of multiplying a number by 2/3, saran divide it by 2/3, leads to a difference of 45 in final outcome. What is the number? *
O (a) 64
O (b) 66
O (c) 54
0 (d) 58
Answer :-
Let us assume that, the number is x .
so,
→ {x ÷ (2/3)} - x * (2/3) = 45
→ (3x/2) - (2x/3) = 45
→ (9x - 4x) /6 = 45
→ 5x / 6 = 45
→ x = 45 * 6/5
→ x = 54 (C) (Ans.)
Hence, the required number is 54.
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Given : Instead of multiplying a number by 2/3, saran divide it by 2/3, leads to a difference of 45 in final outcome
To Find : the number
O (a) 64
O (b) 66
O (c) 54
0 (d) 58
Solution:
Let say number = 6x
Multiplying by 2/3 means = (2/3) * 6x = 4x
Dividing by 2/3 means = 6x / (2/3) = 9x
difference of 45
| 9x - 4 x | = 45
=> |5x | = 45
=> x = ± 9
number = 6(± 9)
= ± 54
Number can be 54 or - 54
from the given options + 54 is correct answer
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