Question

1. Jeevan is 3 years younger than his brother Sasi. If the sum of their present ages is 19 years. What are their present ages? The length of a rectangle is 20m more than its width. If the perimeter of the rectangle is 100m,​

Answer 1

Given:

1. Jeevan is 3 years younger than his brother Sasi. If the sum of their present ages is 19 years. What are their present ages?

2. The length of a rectangle is 20m more than its width. If the perimeter of the rectangle is 100m. Find the length and width of the rectangle?

To find:

1. What are their present ages?

2. Find the length and width of the rectangle?

Solution:

$\boxed{\bold{PROBLEM \:1}}:$

Let's say,

"J" → present age of Jeevan

"S" → present age of Sasi

Jeevan is 3 years younger than his brother Sasi, so we can form the equation as,

J = S - 3 . . . (1)

The sum of their present ages is 19 years, so we can form the equation as,

J + S = 19

on substituting the value of J from equation (1), we get

⇒ S - 3 + S = 19

⇒ 2S = 19 + 3

⇒ 2S = 22

⇒ S = 11 years

∴ Jeevan's present age = J = S - 3 = 11 - 3 = 8 years

Thus, the present age of Sasi is 11 years and that of Jeevan is 8 years old.

$\boxed{\bold{PROBLEM \:2}}:$

Let's say,

"L" → length of the rectangle

"W" → width of the rectangle

The length of a rectangle is 20m more than its width, so we can form the equation as,

L = W + 20 . . . (1)

The perimeter of the rectangle is 100 m, so we can form the equation as,

2[L + W] = 100 . . . [∵ Perimeter of a rectangle = 2×[length + width]]

on substituting the value of L from equation (1), we get

⇒ 2 × [W + 20 + W] = 100

⇒ W + 20 + W = 50

⇒ 2W = 50 - 20

⇒ 2W = 30

⇒ W = 15 m

∴ Length = L = W + 20 = 15 + 20 = 35 m

Thus, the length and width of the rectangle are 35 m and 15 m respectively.

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The ratio of the present age of Ramesh and Mahesh is 5 : 7. After four years the ratio of their age will be 3 : 4. Find out their present age.

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The length and width of a rectangle are in the ratio 5:3.find the dimensions of the rectangle if the perimeter is 112 cm​​.

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Answer 2

Answer:

for q no. 1

Step-by-step explanation: we take Jeevan's age as x and Sasi's age as y

so' x=y-3

x-y=-3

next,

x+y=19we add eq 1 and 2

x-y=-3

x+y=19  +

______

2x=22

x=22/2=11

x-y=-3

11-y=-3

-y=-3-11=-18

y=8

Jeevan's age = 11

Sasi's age = 8

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