Question

The sum of three no. is 196. If the ratio of 1st and 2nd no.is 2:3 and ratio of 2nd and 3rd no. is 5:8.then, Find the numbers.​

Answer 1

Answer:

Numbers are 40,60,96

Step-by-step explanation:

Hope you enjoy my answer

Answer 2

$\underline {\text{Given :}}$

$\text{The sum of 3 numbers is 196.}$

$\text{The ratio of 1st and 2nd number is 2 : 3}$

$\text{The ratio of 2nd and 3rd number is 5 : 8}$

$\underline {\text{To Find :}}$

$\text{ The 3 numbers}$

$\underline{\text{Find the ratio for all the 3 numbers :}}$

$\text{1st Number : 2nd Number } = 2 : 3$

$\text{1st Number : 2nd Number } = 2 \times 5: 3 \times 5$

$\text{1st Number : 2nd Number } = 10 : 15$

$\text{2nd Number : 3rd Number } = 5 : 8$

$\text{2nd Number : 3rd Number } = 5 \times 3: 8 \times 3$

$\text{2nd Number : 3rd Number } = 15 : 24$

$\text{1st Number : 2nd Number : 3rd Number } = 10 : 15 : 24$

$\underline{\text{Solve x :}}$

$\text{1st Number : 2nd Number : 3rd Number } = 10 : 15 : 24$

$\text {1st Number } = 10x$

$\text {2nd Number } = 15x$

$\text {3rd Number } = 24x$

$\text{Total } = 10x + 15x + 24x$

$\text{Total } = 49x$

$49x = 196$

$x = 4$

$\underline{\text{Find the 3 numbers :}}$

$\text {1st Number } = 10x$

$\text {1st Number } = 10(4)$

$\text {1st Number } = 40$

$\text {2nd Number } = 15x$

$\text {2nd Number } = 15(4)$

$\text {2nd Number } = 60$

$\text {3rd Number } = 24x$

$\text {3rd Number } = 24(4)$

$\text {3rd Number } = 96$

$\boxed {\boxed{\textbf{Answer: The numbers are 40, 60 and 96 } }}$