Question

1. The sum of two integers is 35 and the ratio
of these integers is 2:3. Find these integers.​

Answer 1

Answer:

Let the numbers be 2x and 3x

According to the condition:

2x+3x= 35

$↦5x = 35$

$↦ x = \frac{35}{5}$

$↦x = 7$

Therefore, The value of x is 7.

Now, The first number is 2x = 2 × 7 = 14

And the second number is 3x = 3×7 = 21

Answer 2

$\Large{\underline{\underline{\mathfrak{\tt{\red{Solution}}}}}}$

$\Large{\underline{\mathfrak{\tt{\blue{Given}}}}}$

• The sum of two integers is 35

• the ratio of these integers is 2:3

$\Large{\underline{\mathfrak{\tt{\blue{Find}}}}}$

• These Integers

$\Large{\underline{\underline{\mathfrak{\tt{\red{Explanation}}}}}}$

Let,

• first number be = x
• second number be = y

A/c to question,

Case1.

(The sum of two integers is 35)

➠ x + y = 35 ______________(1)

Case2.

(the ratio of these integers is 2:3)

➠ x : y = 2:3

➠ x/y = 2/3

➠ 3x - 2y = 0_____________(2)

Now, multiply 2 in equ(1)

➠2x + 2y = 70___________(3)

Now, add equ(2) & (3)

➠3x + 2x = 70

➠ 5x = 70

➠ x = 70/5

➠x = 14

Now, keep Value of x in equ(2)

➠3×14 - 2y = 0

➠ 2y = 42

➠ 2y = 42

➠ y = 42/2

➠ y = 21

$\Large{\underline{\underline{\mathfrak{\tt{\red{Hence}}}}}}$

• Value of x = 14
• Value of y = 21

___________________