Question

The sum of two no's is 11 Find the nos, if two times one of these nos exceeds three times the other no by 2

Answer 1

Answer :

Let us consider that the two numbers is a and b.

By the given conditions,

a + b = 11 ...(i)

2a = 3b + 2 ...(ii)

From (i), we get

a = 11 - b

Substituting a = 11 - b in (ii), we get

2(11 - b) = 3b + 2

⇒ 22 - 2b = 3b + 2

⇒ 3b + 2b = 22 - 2

⇒ 5b = 20

⇒ b = 4

∴ b = 4

From (i), we get

a + 4 = 11

⇒ a = 11 - 4

⇒ a = 7

∴ a = 7

Therefore, the two numbers are 7 and 4.

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