find two numbers so that their sum, difference and product form a ratio of 6:4:15
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Step-by-step explanation:
Let say Numbers are → A & B
A T Q
(A + B) : (A - B) : (AB) = 6 : 4 : 15
From above , we get
- (A + B) = 6x _(i)
- (A - B) = 4x _(ii)
- (AB) = 15x _(iii)
Solving (i) & (ii) , we get ,
- 2A = 10x
- A = 5x & B = x
Putting these value in (iii), we get
- 5x * x = 15x
- 5x² = 15x
- x = 3
Putting value of x in (i) , (ii) , (iii) , we get
- (A + B) = 18
- (A - B) = 12
- (AB) = 45
Solving above , we get
- A = 15
- B = 3
So the Required numbers are 15 & 3.
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two numbers are 15 and 3
nzjsjajajwei
Answered by
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two numbers are 15 and 3
nzjsjajajwei
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