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| 1. |
the sum of 4 times a numerator and twice the denominator of a fraction is 222 .the difference between 6 times the numerator and thrice the denominator is 87. find the fraction |
| Answer» LET numerator =x and denominator=y∴FRACTION= yx According to the first condition⇒x+y=2x+4⇒y=x+4.....eq1According to the second condition⇒ y+3x+3 = 32 ⇒3x+9=2y+6⇒3x−2y=−3....eq2Substitute the value of y from eq1 to eq2⇒3x−2(x+4)=−3⇒3x−2x+8=−3⇒x=5Put x=5 in eq1⇒y=5+4⇒y=9Hence,fraction= 95 | |