Question

Which of the following represents "ten times the sum of a number and fourteen is equal to nine times the number"?

10(N + 14) = 9N
10(9N + 14) = N
10(N + 9N) = 14

Answer 1

Hey there !

Solution:

Let the number be denoted as N

Given that, 10 times the sum of a number and 14 is equal to 9 times the number.

So this can be written as :

Sum of a number and 14 is written as N + 14.

Ten times that sum is 10 ( N + 14 ). The sum gives us the answer 9 times the number.

Hence 10 ( N + 14 ) = 9 ( N )

Hence Option 1 is correct.

Hope my answer helped !

Answer 2

${\bold{\boxed{Hey Mate !!!}}}$

$<i>Option 1 [10(N+14)=9N]</i>$ represents the statement.

EXPLAINATION :

✴$<b> Ten times :- 10 × .....</b>$....(i)...
✴$<b> Sum of a No. and 14 :- (Let the no. be 'N') Hence, (N+14)</b>$....(ii)....
✴$<b> is equal to 9 times the no. :- (=) 9N ('N' as we have assumed the no. to be 'N')</b>$....(iii).....

=> Equating (i), (ii) and (iii) together ...
▪10 times the sum of a number and 14 is equal to 9 times the number
= 10(N+14)=9N


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