Question

..
Thus, the first condition is verified
(i) Son's age 2 years hence = (14 - 21 years = 16 years
Dilip's age 2 years hence = 38 = 2 years = 90 years
2 years hence
2 x (Dilip's age) = (2x 40) years = 80 years, and
5 x (son's age) = (5x 16) years = 80 years
2 years hence, 2 x Dilip's age = 5 < (sor's age
Thus, the second condition is also verified
2
2.
EXERCISE 88
1. Two numbers are in the ratio 8:3. If the sum of the numbers is 143. find the music
of a number is 20 less than the original number. Find the sumber
3
3. Four-fifths of a number is 10 more than two-thirds of the number. Find the number
4. Twenty-four is divided into two parts such that 7 times the first part added to 5 mm
second part makes 146. Find each part
5. Find the number whose fifth part increased by 5 is equal to its fourth parties
3. Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallies
the sum of the third and 55. find the numbers
. If 10 be added to four times a certain number, the result is 5 less than to
number. Find the number.
Two numbers are such that the ratio between them is 3:5. each is increased
od is 5-7. Find the original bers.​

Answer 1

Answer:

1. 104 and 39

2. Question Incomplete

3. The number is 75

4. 13 and 11

5. The number is 100

6. 55, $\frac{275}{4}$ and $\frac{165}{2}$

7. The number is -5

8. Question Incomplete

Step-by-step explanation:

EXERCISE 88

1. The sum of the numbers is 143

If one number is x, then the other is 143 - x

According to the problem:

$\frac{x}{143-x}$ = $\frac{8}{3}$

=>3x = 1144 - 8x

=>11x = 1144

∴ x = 104, the other number = 143 - 104 = 39

2. Question Incomplete

3. If the number is x, then $\frac{4x}{5} = \frac{2x}{3} + 10$ => 12x = 10x + 150=> x = 75

4. If the first part is x, then the second part is 24-x.

According to the problem:

7x + 5(24 -x) = 146 => 2x = 146 - 120 = 26.  ∴x = 13,

the other number = 24 - 13 =11

5. If the number is x, then $\frac{x}{5}$ + 5 = $\frac{x}{4}$ =>4x + 100 = 5x.  ∴ x = 100

6. Three numbers are in the ratio 4:5:6

Let's assume the numbers are 4x, 5x and 6x

According to the problem:

6x + 4x = 6x + 55 => x = $\frac{55}{4}$, the numbers are 55, $\frac{275}{4}$ and $\frac{165}{2}$

7.  Let's assume that the number is x.

According to the problem:

4x + 10 = x - 5 => x = -5

8. Question Incomplete