When 6 is added to the numerator of a fraction, the numerator becomes twice the denominator. 10 times the denominator exceeds 5 times the numerator by 30. The number of solutions for the fraction is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Infinitely many solutions

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
Infinitely many solutions

The equations are x-2y +6 = 0 and 5x – 10y +30 = 0.

Here, $\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ = $\frac{c_{1}}{c_{2}}$

Suggest Corrections

Similar questions

When 6 is added to the numerator of a fraction, the numerator becomes twice the denominator. In another fraction, 10 times the denominator exceeds 5 times the numerator by 30. The number of solutions for the given equations is

Q. The denominator of a fraction exceeds its numerator by

5

. If

2

is added to both numerator and the denominator, the fraction becomes

\frac{4}{5} .

Find the fraction.

Q. The denominator of a fraction is

4

more than twice the numerator. When both the numerator and denominator are decreased by

6

, then the denominator becomes

12

times the numerator. Determine the fraction.

Q. The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.

Adding 6 to numerator of a fraction , the numerator becomes twice the denominator. The quadratic equation satisfying the statement is

Join BYJU'S Learning Program

When 6 is added to the numerator of a fraction, the numerator becomes twice the denominator. 10 times the denominator exceeds 5 times the numerator by 30. The number of solutions for the fraction is

The correct option is D Infinitely many solutions The equations are x-2y +6 = 0 and 5x – 10y +30 = 0. Here, a1a2=b1b2=c1c2

The correct option is D
Infinitely many solutions

The equations are x-2y +6 = 0 and 5x – 10y +30 = 0.

Here, $\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ = $\frac{c_{1}}{c_{2}}$