Question

The sum of 3 number is 68 . If ratio between first and second no. Is 2:3

Answer 1

Question

The sum of 3 numbers is 68. If the ratio between first and second number is 2:3. Then find the numbers.

Answer

Given that

Sum of 3 numbers = 68

Ratio between 1st and 2nd number = 2:3

To find

The numbers

Assumption

Let's assume the unknown number as x.

Then, 1st number = 2x

2nd number = 3x

And 3rd number = x

By adding 1st, 2nd and 3rd number,

2x + 3x + x = 68 [Given sum of 3 no.s is 68.]

6x = 68

x = $\frac{68}{6}$

x = $\frac{\cancel{68}} {\cancel{6}}$

x = $\frac{34}{3}$

x = $\frac{\cancel{34}}{\cancel{3}}$

x = 11.33 (approximately)

We've gotta the value of x. Now we'll substitute the value of x.

By substituting the value of x

1st number = 2x = 2(11.33) = 22.66

2nd number = 3x = 3(11.33) = 33.99

3rd number = x = 11.33

Verification

Now, we'll substitute the value of the numbers in place of x.

2x + 3x + x = 68

22.66 + 33.99 + 11.33 = 68

67.98 (estimating 67.98 to the nearest number that will be = 68)

∴ 68 = 68

Hence, verified.

∴ The numbers are 11.33, 22.66 and 33.99 (approximately).