State whether the statements are true (T) or false (F).The number of b

1.	State whether the statements are true (T) or false (F).The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.
Answer» False. Let us assume number of boys be 5y and the number of girls be 4y. From the question, 5x – 4x = 9 x = 9 ∴ Number of boys = 5x = 5 × 9 = 45 boys Number of girls = 4x = 4 × 9 = 36 girls.

State whether the statements are true (T) or false (F).The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

Answer»

False.

Let us assume number of boys be 5y and the number of girls be 4y.

From the question,

5x – 4x = 9

x = 9

∴ Number of boys = 5x = 5 × 9 = 45 boys

Number of girls = 4x = 4 × 9 = 36 girls.