Question

two numbers are in the ratio 2:3 The larger number is 30 more than half of the smaller number find the numbers​ 2

Answer 1

SOLUTION:-

Let the two numbers be

• 2x and
• 3x

━━━━━━━━━━━━━━━━━

3x= 30 + 2x/2

⟹ 3x= 30 + x

⟹ 2x= 30

⟹ x= 15

Then

2x= 30

3x= 45

Two numbers are $\bold{\red{30,45}}$

Answer 2

Answer:

✡ Given ✡

$\leadsto$ Two numbers are in the ratio is 2:3. The larger number is 30 more than the half of the smaller number.

✡ To Find ✡

$\implies$ What is the number.

✡ Solution ✡

✏ Let the two numbers be 2x and 3x

✏ One half of smaller number will be = $\dfrac{2x}{2}$ = x

Then, 30 more will be = x + 30

▶ According to the question,

$\implies$ 3x = x + 30

$\implies$ 3x - x = 30

$\implies$ 2x = 30

$\implies$ x = $\dfrac{30}{2}$

$\implies$ x = 15

$\mapsto$ The smaller number will be,

$\implies$ 2x = 2 × 15 = 30

$\mapsto$ The larger number will be,

$\implies$ 3x = 3 × 15 = 45

Step-by-step explanation:

HOPE IT HELP YOU