the denominator of a rational number is greater than its numerator by 4 on adding 6 to the numerator and subtracting 3 from the denominator the fraction obtained is 3 / 2 find the rational number .
Answers
Answered by
1
Answer:
(-10)
Step-by-step explanation:
So we will let the denominator be x
and the numerator will be x+4
When 6 is added to the numerator it becomes x+4+6
= x+10
And when 3 is subtracted from the denominator it becomes x + 1
so now fraction is
x+10/x+1
which is equal to 3/2
SO THE EQUATION IS
x+10/x+1 = 3/2
now we will cross multiply
so 3(x+10) and 2(x + 10)
so 3(x+10) goes to rhs and 2(x + 10) comes to lhs
So new equation is
3x+30 = 2x +20
3x - 2x = 20-30
x. = (-10)
Please mark as brainliest answer
Answered by
0
Answer:
39/26
Step-by-step explanation:
Let denominator be x
According to sum
(x+4+6)/(x-3)=3/2
Do cross multiplication
(x+4+6)2=(x-3)3
2x+8+12=3x-9
8+12+9=3x-2x
29=x
x=29
Hence, numerator(x+4+6)=29+4+6=39
denominator(x-3)=29-3=26
I hope it helps you..
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