Maya and Chaya secured 5/6 part and 4/5 part of total marks. Maya obtained 30 more marks than chaya. How much marks did maya obtain?

Maya= 750

Chaya= 720

Step-by-step explanation:

let total work be X

then according to question,

Maya = 5X/6

Chaya=4X/5

now,5X/6= 4X/5+30

or, 5X/6= 4X+150/5

or, 25X= 24X+900

therefore, X=900

Maya= 750

Chaya= 720

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation: