Question

2)Two numbers differ by 3. The sum of the greater number and twice the smaller number is 15. Find the smaller number.
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Answer 1

Answer:

1. Let us observe the different stages of seed germination.

Things required: a few seeds of moong (you may use seeds of peas, wheat or gram),

five small pots filled with soil, water and a magnifying glass.

Method:

• Label the pots A, B, C, D and E.

Place five seeds in the soil in Pot A. Water this pot regularly. Note down the date.

After a week, repeat the above with Pot B.

• Next week, do the same with Pot C, the subsequent week with Pot D and finally Pot E.

Make sure that the seeds do not dry up or get more water than necessary.

After five weeks of starting your experiment, observe the seedlings in various stages of

development. You may use the magnifying glass,

Record your observations in your notebook.

You may draw the various stages of development you observed or you may click

pictures and paste them.

Plant the seedlings in a nearby garden or park and watch them grow.

2

D

E

B

Answer 2

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.⠀⠀

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

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

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

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

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

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀

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

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

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

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

⠀⠀⠀So, the Numbers are :

• Greater number x = 7
• Smaller number y = 4