Question

In school, cadds competition
was helpe
Two students Daman and chaman of
class vill A
are provided the cards. The
cards in their hands are of different colours
as shown below.
5
4
x
6
3
8
y
7


Daman
Chaman
In order to make sum of the digits of
cards in each hand be divided
divisible by 9, What are the value of ac
and y​

Answer 1

Solution :-

we know that,

• if sum of digits of a number is divisible by 9, the given number also divisible by 9 .

so, Daman's cards :-

→ (5 + 4 + x + 6) ÷ 9 = Remainder 0 .

→ (15 + x) ÷ 9 = Remainder 0 .

Possible value of x :-

• when x = 3 => 15 + 3 = 18 = divisible by 9.

similarly, Chaman's cards :-

→ (3 + 8 + y + 7) ÷ 9 = Remainder 0 .

→ (18 + y) ÷ 9 = Remainder 0 .

Possible value of y :-

• when y = 9 => 18 + 9 = 27 = divisible by 9.

therefore, value of x is 3 and value of y is 9.

also,

→ Daman's score = 18 .

→ Chaman's score = 27 .

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