Question

if three numbers are in the ratio 2:3:5 and the twice their sum is 100 .find thr square of the largest of the three number.​

Answer 1

Step-by-step explanation:

let the nos .2x,3x,5x

a.t.q

2(2x+3x+5x)= 100

2(10x)=100

20x=100

x=100÷20

x=5

therefore,

2x=2×5=10

3x=3×5=15

5x=5×5=25

sq. of largest no. =625

Answer 2

Given:

• Ratio of the 3 numbers are 2:3:5.

• Twice the sum of the numbers 100.

Let's denote the common ratio with the variable x.

Then, the numbers are 2x, 3x and 5x.

Forming a linear equation with the data available:

2*(2x + 3x + 5x) = 100.

10x = 100/2.

x = 50/10.

x = 5.

The numbers are:

2x = 2(5) = 10.

3x = 3(5) = 15.

5x = 5(5) = 25.

The largest number is 25.

The square of 25 is 625.

Therefore, the required answer is 625.