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Sagot :
Solution:
Note that:
- (3x)/20 = (4x + 2)/28
Using cross multiplication:
- (3x)/20 = (4x + 2)/28
- => (3x) × 28 = (4x + 2) × 20
Simplifying both sides:
- => 84x = 80x + 40
Subtracting 80x both sides:
- 84x = 80x + 40
- => 84x - 80x = 80x + 40 - 80x
Simplify the LHS:
- => 84x - 80x = 40
- => 4x = 40
- => x = 10
Ratio remains same
[tex]\\ \rm\bull\rightarrowtail \dfrac{20}{3x}=\dfrac{28}{4x+2}[/tex]
[tex]\\ \rm\bull\rightarrowtail 84x=20(4x+2)[/tex]
[tex]\\ \rm\bull\rightarrowtail 84x=80x+40[/tex]
[tex]\\ \rm\bull\rightarrowtail 4x=40[/tex]
[tex]\\ \rm\bull\rightarrowtail x=10[/tex]
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