Question

7. After 12 years, Soumya shall be three times as old as she was 4 years ago. Find her present age.
8. In a triangle, the greatest angle is 20° more than twice the mid


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Answer 1

let present age be x.

then.. x + 12 = 3(x-4)

so, 2x= 24. or x = 12 is your ans

8. let the angles be x,y,z

y is the middle one. x largest and z smallest.

so, x= 2y+20 and z= y-40.

we know..total sum of angles is 180.

so, 2y+20+y+y-40=180 is your equation.

or.. 4y= 180+20.

or y= 200/4 = 50 is the middle angle.

x = 2×50 + 20 = 120. and z = 50-40 = 10

It is a scalene triangle, as all the angles are unequal.

Answer 2

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