Vijay got thrice as many marks in maths as in English. The proportion of his marks in maths and history is 4:3 .If his total marks in maths, English and history are 250, what are his marks in English
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Hello Dear.
Here is the answer---
Let the Marks of the Vijay in Maths and History be 4x and 3x respectively.
According to the Question,
Vijay got thrice as many marks in Maths as in English.
∴ Vijay marks in Maths = 3 × Marks in English
∴ 4x = 3 × Marks in English.
⇒ Marks of the Vijay in English = 4x/3
Marks of (Maths + English + History) = 250
⇒ 4x + 4x/3 + 3x = 250
⇒ (12x + 4x + 9x) = 250 × 3
⇒ 25x = 250 × 3
⇒ x = 10 × 3
⇒ x = 30
∴ Marks of Vijay in English = 4 × 30/3
= 4 × 10
= 40 Marks.
Hope it helps.
Here is the answer---
Let the Marks of the Vijay in Maths and History be 4x and 3x respectively.
According to the Question,
Vijay got thrice as many marks in Maths as in English.
∴ Vijay marks in Maths = 3 × Marks in English
∴ 4x = 3 × Marks in English.
⇒ Marks of the Vijay in English = 4x/3
Marks of (Maths + English + History) = 250
⇒ 4x + 4x/3 + 3x = 250
⇒ (12x + 4x + 9x) = 250 × 3
⇒ 25x = 250 × 3
⇒ x = 10 × 3
⇒ x = 30
∴ Marks of Vijay in English = 4 × 30/3
= 4 × 10
= 40 Marks.
Hope it helps.
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