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3 votes
X:y=5:3 and x+y=56
work out he value of x-y

2 Answers

3 votes

Answer:

x - y = 14

Explanation:

x/y = 5/3 => x = 5y/3

x + y = 56

5y/3 + ³⁾y = ³⁾56

5y + 3y = 3×56

6y = 168

y = 168 : 8

y = 21

x = 5×21/3 = 105/3 = 35

x - y = 35 - 21 = 14

User Danorton
by
4.2k points
3 votes

Answer:14

Explanation:

x+y=56

x:y=5:3

Sum of ratio=5+3

Sum of ratio=8

x=5/8x56

x=(5x56) ➗ 8

x=280 ➗ 8

x=35

y=3/8x56

y=(3x56) ➗ 8

y=168 ➗ 8

y=21

x-y

35-21=14

x-y=14

User Mark Hurd
by
4.3k points