1.

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Answer»

Let the two digit number be 10x + y where x and y are 10th place digit and unit place digit respectively.

Given,

Unit place digit and tenth place digit of a two digit number are in the RATIO 2 : 3

⇒ y : x = 2 : 3

⇒ y = 2X/3

Given,

sum of tenth place digit and unit place digit is 10

⇒ x + y = 10

⇒ x + 2x/3 = 10

⇒ 3x + 2x = 30

⇒ 5x = 30

⇒ x = 6

⇒ y = 2x/3 = 12/3 = 4

Two digit number = 10x + y

= 10(6) + 4

= 64

3/4th of SQUARE root of two digit number = (3/4) × (64)1/2

= (¾) × 8 = 6

∴ 3/4th of square root of two digit number is 6.



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