the product of two numbers is 1575 and their quotient is 9 by 7. Find the numbers.
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Let the two number be x and y.
Given their product = 1575
⇒ xy = 1575
⇒ x = 1575/y
When the numbers are divided,they are equal = 9/7
x/y = 9/7
1575/y * 1/y = 9/7 [Substituting x value]
1575/y² = 9/7
1575*7 = 9y²
y² = 1575*7/9
y² = 1225
y = √1225 = 35
x = 1575/35 = 45
The numbers are 45 and 35.
Hope this helps you.
Given their product = 1575
⇒ xy = 1575
⇒ x = 1575/y
When the numbers are divided,they are equal = 9/7
x/y = 9/7
1575/y * 1/y = 9/7 [Substituting x value]
1575/y² = 9/7
1575*7 = 9y²
y² = 1575*7/9
y² = 1225
y = √1225 = 35
x = 1575/35 = 45
The numbers are 45 and 35.
Hope this helps you.
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