4. Solve the following problems using two
variables :
(i) If the numerator of a fraction is increased
by 1, its value becomes 3. If its denominator
4
is increased by 2, its value becomes
1
2
Find the fraction
please answer me fast
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4. Solve the following problems using two
variables :
(i) If the numerator of a fraction is increased
by 1, its value becomes 3. If its denominator
4
is increased by 2, its value becomes
1
2
Find the fraction
please answer me fast
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Let the fraction be x/y
when numerator is increased by 1 so the fraction will be
(x+1) / y = 3/4
solving the equation
4x+4=3y --------(1)
when denominator is increased by 1 so the fraction will be
x/(y+2) = 1/2
2x=y+2
x = (y+2) / 2 ------(2)
putting value of x in equation 1
4(y+2)/2 + 4 = 3y
2y + 4 + 4 = 3y
y = 8
putting value of y in equation 1
4x+4=3y
4x + 4 = 3 * 8
4x + 4 = 24
4x = 20
x = 5
so the fraction is 5/8
Answer:
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