Q.1. divide Rs. 260 among 3 children in the ratio 1/2 : 1/3 : 1/4
Q.2. divide the angle of a triangle in the ratio 2:3:4
Q.3. the ratio between male and female teachers in a school in 5:8. if there are 56 female teachers in a school then find.
= No. of male teachers in a school
= total no. of teachers in a school
Q.4. the present age of A and B are in the ratio 5:6 when 2 is adder to first number and 3 is added to set and, they are in the ratio 4:5 find the numbers
plz answer the questions
Answers
Answer:
Step-by-step explanation:
1.Let the 1st child has Rs. 1/2x
the 2nd child has Rs. 1/3x
the 3rd child has Rs.1/4x
According to question,
1/2x + 1/3x + 1/4x =260
13/12x = 260
x = 260 × 12/13
x = 20 × 12
x = 240
So,
The amount 1st child has = 1/2x
= 1/2 ×240
= Rs. 120
The amount 2nd child has = 1/3x
=1/3 ×240
= Rs.80
The amount 3rd child has =1/4x
= 1/4 × 240
= Rs.60
2. Let the 1st angle be 2x
2nd angle be 3x
3rd angle be 4x
We know that the sum of all angles in a triangle is 180.
So,
2x + 3x + 4x = 180
9x = 180
x = 180/9
x = 20
Therefore, the 1st angle = 2×20= 40
2nd angle= 3×20= 60
3rd angle = 4×20= 80
3. Let the No. of male teachers= 5x
No. of female teachers= 8x
Also the no. of fmale teachers =56
So, 8x = 56
x = 56/8
x = 7
Therefore,
No. males teachers = 5×7 = 35 Total no. of teachers = 56+35 = 91
4. Let the present age of A=5x
present age of B= 6x
Now,
New age of A= 5x+2
New age of B= 6x+3
According to the question,
5x+2/6x+3 = 4/5
By cross multiplying we get,
5(5x+2) = 4(6x+3)
25x + 10 = 24x+12
25x - 24x = 12- 10
x = 2
Therefore,
The present age of A= 5×2 = 10yrs
The present age of B = 6×2 = 12yrs
Thankyou
Hope this answer helps you!! :)
Answer:
Step-by-step explanation:
1.Let the 1st child has Rs. 1/2x
the 2nd child has Rs. 1/3x
the 3rd child has Rs.1/4x
According to question,
1/2x + 1/3x + 1/4x =260
13/12x = 260
x = 260 × 12/13
x = 20 × 12
x = 240
So,
The amount 1st child has = 1/2x
= 1/2 ×240
= Rs. 120
The amount 2nd child has = 1/3x
=1/3 ×240
= Rs.80
The amount 3rd child has =1/4x
= 1/4 × 240
= Rs.60
2. Let the 1st angle be 2x
2nd angle be 3x
3rd angle be 4x
We know that the sum of all angles in a triangle is 180.
So,
2x + 3x + 4x = 180
9x = 180
x = 180/9
x = 20
Therefore, the 1st angle = 2×20= 40
2nd angle= 3×20= 60
3rd angle = 4×20= 80
3. Let the No. of male teachers= 5x
No. of female teachers= 8x
Also the no. of female teachers =56
So, 8x = 56
x = 56/8
x = 7
Therefore,
No. males teachers = 5×7 = 35 Total no. of teachers = 56+35 = 91
4. Let the present age of A=5x
present age of B= 6x
Now,
New age of A= 5x+2
New age of B= 6x+3
According to the question,
5x+2/6x+3 = 4/5
By cross multiplying we get,
5(5x+2) = 4(6x+3)
25x + 10 = 24x+12
25x - 24x = 12- 10
x = 2
Therefore,
The present age of A= 5×2 = 10 yrs.
The present age of B = 6×2 = 12 yrs.