Question

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​

Answer 1

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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Answer 2

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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