10 added ti 5 times a number is equal to 4 added to 7 times the number. what is the number
Answers
Answer:
The number is 3
Step-by-step explanation:
let the number be "x"
so according to question, 10 added ti 5 times a number is equal to 4 added to 7 times the number
5 times the number is 5*x = 5x and 7 times the number is 7*x = 7x
=> 10 + 5x = 4 + 7x
=> 10 - 4 = 7x - 5x
=> 2x = 6
=> x = 6/2 = 3
Hence the number is 3
VERIFICATION :
applying x = 3 in the equation 10 + 5x = 4 + 7x :
LHS = 10 + 5x = 10 + 5(3) = 10 + 15 = 25
RHS = 4 + 7x = 4 + 7(3) = 4 + 21 = 25
LHS = RHS
Hence verified that the required number is 3
5x + 10 = 7x + 4
10 - 4 = 7x - 5x
6 = 2x
6/2 = x
3 = x
Therefore , x = 3
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