Question

7. The length of a rectangular park is 2 m less than thrice its
156 m. Find the length and breadth of the park.
8. Present ages of Veena and Simi are in the ratio 2 : 5. Four years from now the ratio of their ages
will be 1: 2. Find their present ages.
15 years from now Renu will be four times her present age. What is Renu's present age?​

Answer 1

Step-by-step explanation:

$\huge\tt\red{ANS}\huge\pink{WER}$

1) Given:-

P = 156 m

b = x

l = 3x - 2

atq,

156m = 2(3x - 2 + x)

156m = 2(4x-2)

156m = 8x - 4

160m = 8x

20m = x

Hence, b = 20m, l = 60m - 2 = 58m

2) Let veena's age = 2x

Simi's age= 5x

After 4 years,

Veena' age = [2x + 4] years

Simi's age = [5x + 4] years

After 4 years the new ratio of their ages becomes 1:2, so we can form an equation as,

$\frac{2x\:+\:4}{5x\:+\:4} = \frac{1}{2}$

⇒ 2 [2x + 4] = 5x + 4

⇒ 4x + 8 = 5x + 4

⇒ 8 - 4 = 5x - 4x

⇒ x = 4

Therefore,

Veena's present age= 2x= 2×4= 8 years

Simi's present age = 5x=5×4= 20 years

3) Let Renu's present age= x

15+x= 4x

15= 4x-x

15 = 3x

X= 15/3

X = 5 years

Therefore, Renu's present age= 5 years