Question

The numerator of a rational number greater than is denominator by6if the numerator and denominator are increased by 7and1 respectively the number obtained is5/2find the rational number

Answer 1

Answer:

13/7

Step-by-step explanation:

let the denominator be x

and numerator be x+6.

so the rational number is x+6/x

now as given

x+6+7/x+1= x+13/x+1

but given is 5/2

so x+13/x+1=5/2

so we will do cross multiplication

2(x+13)=5(x+1)

2x+26=5x+5

2x-5x=5-26 (transposing)

-3x=-21 (we will cut minus from both sides)

x = 21/3 = 7

so the rational number

= x+6/x=7+6/7=13/7

Answer 2

Answer:

x+6 DINOMINATOR

X NUMERATOR

Step-by-step explanation:

X +8

X+6+8=x+14

x+8=5

x+14=2

cross multiplication

5(x+14)=2(x+8)

5x+70=2x+16

5x - 2x =70- 16

3x=54

x=18

x+6=18+6=24