Marks obtained by Tina in History are equal to 1/3rd of marks obtained by her in Arts. Total marks obtained by her in both the subjects is 160. How many marks did she secure in Arts?
1). 120
2). 60
3). 30
4). 90
Let’s assume that the marks obtained by Tina in Arts = x
? The marks scored in History are equal to 1/3rd of the marks scored in Arts
⇒ Marks received by her in history = x/3
∴ Total marks obtained by her in Arts and History = x + (x/3) = (4x/3)
⇒ 160 = (4x/3)
⇒ x = 160 × (3/4)
⇒ x = 120