Question

Two numbers differ by 3. The sum of the
greater number and twice the smaller number is
15. Find the smaller number.

​

Answer 1

Answer:

4

Step-by-step explanation:

Let the two numbers be x and y

x - y = 3

x + 2y = 15

Solving both equations we get, x = 7 and y = 4

Since y is smaller, the answer = 4

Hope this helps you

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Answer 2

Answer:

AnswEr

Difference of both numbers is 3.

• And, sum of the greater number & twice the smaller number is 15.

• We've to find out the numbers.

Let's consider that greater number be x & smaller number be y.⠀⠀

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀

${\underline{\sf{\bigstar\: According \ to \ Question :}}}$

$\star \ \boxed{\sf{x - y = 3}} \qquad \qquad\sf ...(i)$

$\star \ \boxed{\sf{x + 2y = 15}} \qquad \qquad\sf ...(ii)$

${\underline{\sf{\bigstar\;Now, \: Multiplying \: eq_{n} \: 1 \: by \: 2\;:}}}$

$:\implies\sf x - y = 3 \\\\\\:\implies\sf\purple{ 2x - 2y = 6}$

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀

⠀${\underline{\sf{\bigstar\: From \: Equation \: (i) \: \& \: (ii) \: :}}}$

$:\implies\sf x + \cancel{2y} = 15 \\\\\\:\implies\sf 2x - \cancel{2y} = 6 \\\\\\:\implies\sf 3x = 21 \\\\\\:\implies\sf x = \cancel\dfrac{21}{3} \\\\\\:\implies\boxed{\frak{\purple{x = 7}}}$

$\therefore\underline{\textsf{ Now, \ substituting \ value \ of \ x \; in \ \textbf{eq\:(ii)}}}.$⠀

$:\implies\sf x + 2y = 15 \\\\\\:\implies\sf 7 + 2y = 15 \\\\\\:\implies\sf 2y = 15 - 7 \\\\\\:\implies\sf 2y = 8\\\\\:\implies\sf y = \cancel\dfrac{8}{2} \\\\\\:\implies\boxed{\frak{\pink{y = 4}}}$

⠀⠀⠀So, the Numbers are :

Greater number x = 7

Smaller number y = 4