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The ratio of two numbers is 1 ∶ 5 and their product is 320. What is the difference between the squares of these two numbers?
- a)1024
- b)1256
- c)1536
- d)1640
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio of two numbers is 1 5 and their product is 320. What is the...
The ratio of two numbers is 1 ∶ 5 and their product is 320;
Suppose the numbers are x and 5x;
∴ x × 5x = 320
⇒ 5x2 = 320
⇒ x2 = 64
⇒ x = 8
∴ The numbers are 8 and 40;
∴ Difference between the squares of these two numbers = 1600 – 64 = 1536
Suppose the numbers are x and 5x;
∴ x × 5x = 320
⇒ 5x2 = 320
⇒ x2 = 64
⇒ x = 8
∴ The numbers are 8 and 40;
∴ Difference between the squares of these two numbers = 1600 – 64 = 1536
Most Upvoted Answer
The ratio of two numbers is 1 5 and their product is 320. What is the...
The ratio of two numbers is 1 ∶ 5 and their product is 320;
Suppose the numbers are x and 5x;
∴ x × 5x = 320
⇒ 5x2 = 320
⇒ x2 = 64
⇒ x = 8
∴ The numbers are 8 and 40;
∴ Difference between the squares of these two numbers = 1600 – 64 = 1536
Suppose the numbers are x and 5x;
∴ x × 5x = 320
⇒ 5x2 = 320
⇒ x2 = 64
⇒ x = 8
∴ The numbers are 8 and 40;
∴ Difference between the squares of these two numbers = 1600 – 64 = 1536
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The ratio of two numbers is 1 5 and their product is 320. What is the...
(solution :- ) Given x:y=1:5
x/y=1/5
eq(1)=>x=y/5
eq(2)=>x*y=320
substitute eq(1) in eq(2);
(y/5)*y=320
y^2/5=320;
y^2=1600;
y=40.
substitute y value in eq(1);
x=8;
Now, the difference in the squares of two numbers is = 1600-64
= 1536.
x/y=1/5
eq(1)=>x=y/5
eq(2)=>x*y=320
substitute eq(1) in eq(2);
(y/5)*y=320
y^2/5=320;
y^2=1600;
y=40.
substitute y value in eq(1);
x=8;
Now, the difference in the squares of two numbers is = 1600-64
= 1536.
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