Question

Two-thirds of a number increased by 19 gives the result as 29 .find the number

Answer 1

$\huge {\red {\mathfrak{Question:-}}}$

• Two-thirds of a number increased by 19 gives the result as 29. Fnd the number.

$\huge {\pink {\mathfrak{Solution:-}}}$

Let the required number be x.

Atq,

$\implies( x \times \dfrac{2}{3}) + 19 = 29 \\ \\ \implies \dfrac{2x}{3} + 19 = 29 \\ \\ \implies \dfrac{2x}{3} = 29 - 19 \\ \\ \implies \dfrac{2x}{3} = 10 \\ \\ \implies 2x = 3 \times 10 \\ \\ \implies x = \dfrac{3 \times 10}{2} \\ \\ \implies x = 3\times 5 \\ \\ \implies x = 15$

$\green {\therefore{\tt {The\:required\:number\: is\:15.}}}$

$\rule {207}{1}$

$\underline{\bold {Verification:}}$

$\implies (15 \times \dfrac{2}{3}) + 19 = 29 \\ \\ \implies (5 \times 2) + 19 = 29 \\ \\ \implies 10 + 19 = 29 \\ \\ \implies 29 = 29$

$\rule {207}{2}$

Answer 2

★ 15 ★

Step-by-step explanation:

Given:

• Two third of a number is increased by 19 gives result as 29

To Find:

• What is the number?

Solution: Let the number be x

A/q

→ 2/3 of x + 19 = 29

→ 2x/3 + 19 = 29

→ 2x/3 = 29–19

→ 2x/3 = 10

→ 2x = 10 x 3

→ 2x = 30

→ x = 30/2

→ x = 15

Hence, The number is x = 15