Question

The number 299 is divided into two parts in the ratio 5: 8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294​

Answer 1

Step-by-step explanation:

5x+8x = 299

13x = 299

x = 299/13 = 23

The numbers are 115 & 184 .

product of these two numbers

= 115×184

= 115(200-16)

= 23,000-1,840

= 21,160

Answer 2

$\huge\bf{\underline{\red{Solution:-}}}$

$\bf\underline{\purple{Given:-}}$

●The sum of two numbers is 299

●These numbers are in ratio

=> 5:9

• We have to find the numbers

• and the product of these numbers

$\sf\:\:\:Let\:the\: number\:be\: x\\ \\ \sf\implies 5x \:\:\:\:and\:\:8x\\ \\ \sf\:\:\:\:\: 5x+8x=299$

$\bf\underline{\red{A.T.Q:-}}$

$\sf\implies 5x+8x=299\\ \\ \sf \implies 13x=299\\ \\ \sf\implies \cancel{\dfrac{299}{13}}\\ \\ \sf\implies x=23$

$\sf\bullet 5x =5\times 23\\ \\ \sf\implies 115\\ \\ \sf\bullet 8x=8\times 23\\ \\ \sf\implies 184$

Now we have to find the product of these numbers

$\sf\implies 115\times 184\\ \\ \sf\implies 21160$

$\boxed{\red{\sf{Option\:(B)\:is\: correct=21160}}}$