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The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq.cm. Find the length of the greater line segment if one is longer than the other by 2 cm.(1) 7 cm (2) 9 cm(3) 11cm (4) 16 cm

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Solution Let the length of the smallerline segment”= x cm.The length of larger line segment= (x+ 2) cm.According to the question,(x + 2)² – X² = 32⇒x²+4x+4-x²=32⇒4x=32-4=28x=28/4=7The required length= x+ 2 = 7 + 2 = 9 cm.

The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq.cm. Find the length of the greater line segment if one is longer than the other by 2 cm.(1) 7 cm (2) 9 cm(3) 11cm (4) 16 cm Read More »

The average age of 14 girls and their teacher’s age is 15 years. If the teacher’s age is excluded, the average reduces by 1. What is the teacher’s age?(1) 35 years (2)32 years(3)30 years (4)29 years

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Solution Total age of 14 girls + 1 teacher = 15 x 15 = 225 yrs. Average age of 14 girls = 14 yrs.:. Total age of 14 girls= 14 x 14 = 196 yrs.:. Teacher’s age= 225 – 196 = 29 yrs.

The average age of 14 girls and their teacher’s age is 15 years. If the teacher’s age is excluded, the average reduces by 1. What is the teacher’s age?(1) 35 years (2)32 years(3)30 years (4)29 years Read More »