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Question
In a school, the number of girls is 50 more than the number of boys. The total number of students is 1070. Find the number of girls.
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Solution
Let x be the number of boys in the school.
Then, the number of girls in the school will be x + 50.
According to the question,
x + (x + 50) = 1070
⇒ 2x + 50 = 1070
⇒ 2x = 1070 – 50 ...[Transposing 50 to RHS]
⇒ 2x = 1020
⇒ x = 510 ...[Dividing both sides by 2]
So, the number of boys in the school = 510
∴ Number of girls in the school = 510 + 50 = 560.
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