Average number of books of 4 subjects Maths, English, Hindi and Science in library P is 77. In library Q, there are 5 more English books and 23 more Science books than that of in library P. If the average of the total number of books of 4 subjects in library P and that in library Q is 348 then the library Q has how many more books of Hindi and Math than library P?

Average number of books of 4 subjects Maths, English, Hindi and Science in library P is 77. In library Q, there are 5 more English books and 23 more Science books than that of in library P. If the average of the total number of books of 4 subjects in library P and that in library Q is 348 then the library Q has how many more books of Hindi and Math than library P? Correct Answer 52

GIVEN:

Average number of books of 4 subjects Maths, English, Hindi and Science in library P is 77.

The average of the total number of books of 4 subjects in library P and that in library Q is 348.

CONCEPT:

Basic concept of Average.

FORMULA USED:

Average = Sum/Total numbers

CALCULATION:

Suppose the number of Math, English, Hindi, and Science books in library P are w, x, y, and z respectively.

⇒ Number of English books in library Q = (x + 5)

⇒ Number of Science books in library Q = (z + 23)

Suppose the number of Hindi and Math books in library Q is ‘a’ and ‘b’ respectively.

Now,

(w + x + y + z) = 77 × 4

⇒ (w + x + y + z) = 308      ----(i)

And

(x + 5 + z + 23 + a + b) + (w + x + y + z) = 348 × 2 = 696

From equation (i):

⇒ (x + 5 + z + 23 + a + b) + 308 = 696

⇒ (x + z + a + b) = 360     ----(ii)

Subtracting equation (i) from equation (ii):

⇒ (a + b) – (w + y) = 360 – 308 = 52

∴ There are 52 more Hindi and Math books in library Q than in library P.

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