Question

Ajay and Vijay wrote a test. The sum of Ajay's score
and twice Vijay's score is 310. The sum of Vijay's
score and twice Ajay's score is 290. Find the ratio of
the scores of Ajay and Vijay.
9:11
(B) 13:17
(C) 11:19
(D) 7:13​

Answer 1

Hi friend!!

Let Ajay's score be x.Let Vijay's score be y.

Given,

The sum of Ajay's score

and twice Vijay's score is 310

→x+2y=310

x=310-2y-----(1)

The sum of Vijay's

score and twice Ajay's score is 290

→y+2x=290

y+2(310-2y)=290

y+620-4y=290

330=3y

y=110

from(1),we get

x=310-2y

=310-2(110)

=310-220

=90

Now, x:y=90:110=9:11

Answer:-Option (A)

I HOPE THIS WILL HELP YOU ;)