Question

34. What is the value of n if (9 x 4) + (n × 5)
= 9 ×(4 + 5)?​

Answer 1

Step-by-step explanation:

36+(n×5)=81

(n×5)=81-36

(n×5)=45

n=45/5

n=9

Answer 2

Answer:

The value of n = 9

Step-by-step explanation:

Given expression is  (9 x 4) + (n × 5) = 9 ×(4 + 5)

Required to find the value of 'n'

Solution:

Recall the identity:

Distributive property of multiplication over addition of integers:

If a, b, and c are any three integers, then the distributive property of multiplication over addition of integers is given by

a×(b+c) =  (a×b)+(a×c)

Applying the distributive property with a = 9, b = 4 and c = 5 we get

9×(4+5) =  (9×4)+(9×5) --------------------(1)

The given expression is  (9 x 4) + (n × 5) = 9 ×(4 + 5), comparing this equation with the equation (1) we get,

n = 9

∴The value of n = 9

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