Question

The product of two numbers is 5625 and the larger number is 9 times the smaller number.What would be the sum of these numbers?

A--200
B--225
C--250
D--275​

Answer 1

Answer:

Option c) 250 is the correct answer.

1st number = 25

2 nd number = 225

Sum = 225 + 25

= 250

The sum of two numbers is 250.

Answer 2

Step-by-step explanation:

$let \: larger \: number = 9x \\ smaller \: number = x\\ \\ now \: according \: to \: question \\ 9 x \times x = 5625 \\ 9 {x}^{2} = 5625 \\ {x}^{2} = \frac{5625}{9} = 625 \\ x = 25 \\ \\ larger \: number \: = 9 \times 25 = 225 \\ smaller \: number = 25 \\ sum = 225 + 25 = 250$