Question

two number is differ by 3 the sum of greater number and twice the smaller number is 15 find the smaller number

Answer 1

GIVEN:

• Two numbers are differ by 3
• Sum of greater number and twice the smaller number is 15

TO FIND:

• What is the smaller number ?

SOLUTION:

Let the larger number be 'x' and smaller number be 'y'

CASE:- 1)

❐ Two numbers are differ by 3

According to question:-

➸ x –y = 3

➸ x = 3 + y....1)

CASE:- 2)

❐ Sum of greater number and twice the smaller number is 15.

According to question:-

➸ x + 2y = 15...2)

Put the value of 'x' in equation 2)

➸ 3 + y + 2y = 15

➸ 3y = 15 –3

➸ 3y = 12

➸ y = $\sf{\cancel\dfrac{12}{3}}$

❮ y = 4 ❯

Put the value of 'y' in equation 1)

➸ x = 3 + 4

❮ x = 7 ❯

❝ Hence, the smallest number is 4 and largest number is 7 ❞

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Answer 2

QUESTION :-

Two number is differ by 3 the sum of greater number and twice the smaller number is 15 find the smaller number?

GIVEN :-

• Two number is different by 3
• Sum if greater number and twice the smaller number is =15

TO FIND :-

• Smaller number = ?

SOLUTION :-

Let the two numbers be x and y

So according to question

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

${ \sf{ \implies \: x = 3 + y.......(1)}}$

And,

${ \sf{ \implies \: x + 2y = 15 .....(2)}}$

By Substituting equation (1) in (2) we get,

${ \sf{ \implies \: (3+y) + 2y = 15}}$

${ \sf{ \implies \: y + 2y = 15-3}}$

${ \sf{ \implies \: 3y = 12 }}$

${ \boxed{ \red{ \sf{y \: = 4}}}}$

Putting value of y in equation 1 we get

${ \sf{ \implies \: x- 4 = 3}}$

${ \sf{ \implies \: x = 3 + 4}}$

${ \boxed{ \red{ \sf{x = 7}}}}$

So the smallest number is 7 .

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