# Lydia takes seven minutes more to complete an illustration than Tom. The total time taken by both of them is six hours. How do you form an algebraic equation to express this and identify the variables, coefficients, and constants?

Jun 12, 2018

color(indigo)("variable " = x

color(indigo)("Coefficient of variable "= 2

color(indigo)(7, 360 " are the constants"

#### Explanation:

$\text{Let Time taken by Tom be } x$

$\text{Time taken by Lydia " = x + 7 " min.}$

$\text{Total time taken by both " = x + x + 7 = 2x + 7 " min.}$

$\text{But given total time taken as " 6 hrs ' or " = 360 "min.}$

$\therefore 2 x + 7 = 360 \text{ min.}$

color(indigo)("variable " = x

color(indigo)("Coefficient of variable "= 2

color(indigo)(7, 360 " are the constants"