Question

15+1/3(n-20)=n/2 solve it​

Answer 1

Answer:

50 is the answer

Step-by-step explanation:

⇛ 15 + 1/3( n - 20 ) = n/2

⇛ 15 + 1/3(n) - 1/3(200) = n/2

⇛ 15 + n/3 - 20/3 = n/2

⇛ 15 + n/3 - 20/3 = n/2

⇛ 45/3 + n/3 - 20/3 = n/2

⇛ (45 + n - 20)/3 = n/2

⇛ (25 + n)/3 = n/2

⇛ 2( 25 + n) = 3n

⇛ 50 + 2n = 3n

⇛ 50 = n

Double check:

⇛ 15 + 1/3( 50 - 20) = 50/2

⇛ 15 + 1/3(30) = 25

⇛ 15 + 10 = 25

⇛ 25 = 25

LHS = RHS

Always solve such problems in this order

1. Brackets

2. Order/ power

3. Multiplication/Division

4. Addition/Subtraction

That is : BODMAS

Note that division and multiplication can be done at the same time. But it'd be better to go from left to right. Same goes for subtraction and addition.

Answer 2

Step-by-step explanation:

15+1/3(n-20)=n/2

{45(n-20)+1}/3(n-20)=n/2

45n-900+1=3n(n-20)/2

90n-1800+2=3n^2-60n

3n^2-150n+1798=0

n=(150+ or -√(22500-21576)/2(3)

n=(150+ or -√924)/6

n=(150+ or -30.397)/6

n=180.837/6 or n=119.603/6

n=30.1395& n=19.9338

n=30 &n=20 (approximately)