Question

1)Find three consecutive odd natural numbers whose sum is 87.

2)In a class of 35 students, the number of girls is two-fifth of the number of boys. Find the number of girls in the class.

3)A chair costs Rs.250 and a table costs
Rs.400. If a housewife purchased a certain number of chairs and two tables for Rs.2800, find the number of chairs she purchased.

4)Aparna got Rs. 27840 as her monthly salary and over-time. Her salary exceeds the
over-time by Rs. 16560. What is her monthly salary?
(Hint.) Let Aparna's monthly salary be x, then payment for over-time = (x-16560)
According to problem, x + x - 16560 = 27840.

5)Heena has only Rs. 2 and Rs. 5 coins in her purse. If in all she has 80 coins in her
amounting to Rs. 232, find the number of Rs. 5 coins.

6)A purse contains Rs.550 in notes of denominations of Rs. 10 and Rs. 50. If the number of Rs. 50 notes in one less than that of Rs. 10 notes, then find the number of Rs. 50 notes.

7) After 12 years, I shall be 3 times as old as I was 4 years ago. Find my present age.

8) Two equal sides of an isosceles triangle are (3x - 1) units and (2x + 2) units. The
third side is 2x units. Find x and the perimeter of the triangle.

9) The length of a rectangular plot is 6 m less than thrice its breadth. Find the
dimensions of the plot if its perimeter is 148 m.

10) Two complementary angles differ by 20°. Find the measure of each angle.​

Answer 1

Answer:

28,29,30

Step-by-step explanation:

$x + (x + 1) + (x + 2) = 87 \\ x + x + 1 + x + 2 = 87 \\ 3x + 3 = 87 \\ 3x = 87 - 3 \\ 3x = 84 \\ x = \frac{84}{3} \\ x = 28 \\ x + 1 = 28 + 1 = 29 \\ x + 2 = 28 + 2 = 30$