Two numbers are 6 and 9.

Solution

Let the two numbers be a & b.

⇒ 3a + 2b = 36

⇒ 3a = 36 - 2b

⇒ a = (36 - 2b)/3 ...(1)

2nd case :-

⇒ 2a + b = 21

⇒ 2(36 - 2b)/3 + b = 21

⇒ (72 - 4b)/3 + b = 21

⇒ (72 - 4b + 3b)/3 = 21

⇒ 72 - b = 63

⇒ b = 72 - 63

⇒ b = 9

Now putting this value in (1) :-

⇒ a = {36 - 2(9)}/3

⇒ a = {36 - 18}/3

⇒ a = 18/3

⇒ a = 6

So to say,

∴ Two numbers are 6 & 9 respectively.

Verified answer

Aɴꜱᴡᴇʀ

➳ The two numbers are, 6 and 9

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Gɪᴠᴇɴ

✭Thre times the first number + Twise the second number = 36

✭ Twice the first number + Second number = 21

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Tᴏ ꜰɪɴᴅ

➢ The two numbers?

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Sᴛᴇᴘꜱ

❍ Let the first number be x. And, the second number be y.

❍ When three times the first number added to twice the second number, the sum is equal to 36.

Equation :

Again, when twice the first number added to second number, the sum is equal to 21.

Equation :

On equating both the equation (i) and (ii),

Substituting the value of x in (i),

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