The different between two numbers is 5 and the different between their squares is 65. What is the larger number?

Created: 2 years ago | Updated: 6 days ago

Updated: 6 days ago

Uttara Bank Ltd উত্তরা ব্যাংক | অ্যাসিস্ট্যান্ট অফিসার | 23-07-2022 গণিত বর্গ ও বর্গমূল (Square & Square root)

Des

551

Best Ans:

Let, larger number = P, smaller Number Is = Q

p - Q = 5

$P^{2} - Q^{2} = 65$

or, (P+Q)(P-Q) = 65

P+Q = 65/5 = 13

now, P+Q = 13

P-Q = 5

(Doing Addition), we get, 2P = 18, P= 9 (Ans)

2 years ago

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RAJIB ROY

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