In this page word problem solution1 we are going to
see solution for first word problem of the worksheet cross multiplication
method.

Formulate the following problems as a pair of equations,and hence find their solutions:

(i) One number is greater than thrice the other number by 2. If 4times the smaller number exceeds the greater by 5, find the numbers.

**Solution:**

Let “x” be one number and “y “ be another number

Here one number is defined by other number

x = 3 y + 2 ----- (1)

Here we have two variables x and y. In these two terms x is greater number and y is smaller number

4y = x + 5 ----- (2)

Substitute (11) in the second equation we get

4 y = 3y + 2 + 5

4 y - 3 y = 7

y = 7

Now we need to apply the value of y in first or second equation to get the value of y.

Substitute y = 7 in the first equation

x = 3(7) + 2

x = 21 + 2

x = 23

Therefore one number is 23 and other number is 7.

**Verification:**

x = 23 y = 7

23 = 3 (7) + 2

23 = 21 + 2

23 = 23

word problem solution1 word problem solution1

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**Try other questions**

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(iii) A two digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number. Solution

(iv) Three chairs and two tables cost $700 and five chairs and three tables cost $1100.What is the total cost of 2 chairs and 3 tables. Solution

(v) In a rectangle,if the length is increased and breadth is reduced each by 2 cm then the area is reduced by 28 cm ². If the length is reduced by 1 cm and the breadth is increased by 2 cm,then the area increases by 33cm². Find the area of the rectangle. Solution

(vi) A train traveled a certain distance at a uniform speed. If the train had been 6 km/hr faster,it would have taken 4 hours less than the scheduled time. If the train were slower by 6km/hr, then it would have taken 6 hours more than the scheduled time. Find the distance covered by the train. Solution