Question

Determine the Blocks Each Girl Has
Linda, Mary, and Monica have a set of 9 blocks, numbered 1 through 9:


Each girl takes 3 of the 9 blocks.
Linda says: The product of all my numbers is 63.
Mary says: The product of all my numbers is 48.
Monica says: The sum of all my numbers is 16.

Answer 1

Answer:

LINDA = 1,7,9 ANS.

MARY = 2,4,6 ANS.

MONICA = 3,5,8 ANS.

Step-by-step explanation:

SINCE PRODUCT OF THE NO. LINDA HAVE IS 63

WE WILL FACTORIES 63

ON FACTORIZATION WE GET 3 × 3 × 7

SINCE ALL NO. CAN BE USED ONCE

THEREFORE POSSIBLE NO.S OF LINDA WILL BE 7, AND 9

7×9 = 63

SINCE WE NEED THREE NO.S WE WILL MULTIPLY IT BY 1

1×7×9 = 63

SO LINDA'S NO.S ARE 1,7,9

NOW

BECAUSE THE PRODUCT OF MARY'S NO.S IS 48

WE FIND THAT NO. 5 IS NOT WITH MARY

SO WE FIND TWO POSSIBILITIES OF PRODUCT 48

WHICH ARE

2 × 3 × 8 = 48

OR

2 × 4 × 6 = 48

NOW WE CAN SEE THAT IN ANY POSSIBLITY OF THE PRODUCT NO. 2 WILL COME

NOW WE KNOW THAT THE NO.S OF MONICA CONFIRMLY CONTAINS 5 AND NOT CONTAINS 2

SO

NOW WE FOUND THAT THERE IS ONLY ONE SET OF POSSIBILITIES OF SUM OF MONICA'S NO.S TO BE 16

WHICH IS

3 + 5 + 8 = 16

SO MARY'S NO.S ARE 3,5,8

AND THE ONLY NO.S LEFT ARE 2,4, AND 6

AND WE ALSO KNOW THAT THIS IS ONE OF THE POSSIBILITIES TO BE MARY'S NO.S

AND THERE PRODUCT IS 48

SO MONICA'S NO.S ARE 2,4,6

PLEASE MARK THE ANSWER AS BRAINLIEST

Answer 2

ANSWER:

LINDA = 1x7x9

MARY = 2X4X6

MONICA = 3+5+8

Step-by-Step explanation:

EVERY BLOCK IS T0 BE USED ONCE.

LINDA WILL GET THE PRODUCT[answer of multiplication] OF 3 BLOCKS AS 63.

SO,

7x9x1= 63

MARY WILL GET THE PRODUCT[answer of multiplication] OF 3 BLOCKS AS 48.

SO,

4x2x6= 48

MONICA WILL GET THE SUM[answer of addition] OF 3 BLOCKS AS 16.

SO,

5+8+3=16